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Function worksheets kuta H r vA LlXlp 2rivg ihNtDsN vr8e LsReOrCv5eqdE. g b gM da gdke N Lw6ixtWhX CIenWf4i on Pijt1e L TAHlWgfe rb UrTa0 m2O. 75 e. G w aMda rd Rec 1w8iJtGhg nIunQfBiln hi AtMeh yA 3llgne AbBrMas b2C. ©f c2c0 y1Q1C 0KZutPa 1 DS1o rfotsw GaLrVeq xL OLxCl. The _____ of f is the range of f-1, and the _____ of f is the _____ of f-1. j o qAalklJ 7r1i DgIh ztTsx 6r5e1smebrhv SeQdW. 0 9 yMZaud aeC 5wvi Ptshx cIsn 0fYi3n kiWt0e0 ZCbail 9c ju clFuAsg. You may use the provided graph to sketch the function. Exponential Functions Date_____ Period____ Evaluate k urMihg jhYt Xse FrqensPeur tvze hd 9. - Evaluating Trig. Domain. Allen-Black Function Notation & Operations Name_____ ID: 1 Date_____ Period____ ©e \2K0n1D8H OKpu[tyaA KSqoEfxtAw Worksheet by Kuta Software LLC-3-Answers to Function Notation & Operations (ID: 1) 1) 143) Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Power Functions Name_____ Date_____ Period____ Consider each power function. 6 Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Understanding the Discriminant Date_____ Period____ Free math worksheets created with Kuta Software Test and Worksheet Generators. B m XM5a Ddte X rw6i8tLhS BIFnbf oicndi 4t 7ee lA nl7gxe 3brvaa P29. 7 o oMia2dKeK 7w Lijt uhF AIUnNf4iBn yi0t2e U GAHlGgBe4blr Gaj n2 y. G L 2M Ca2dde z Cwjiytvh M KIUn0f Gi0nWipt Qei 5CcaEluc4u FlhuQsw. Free Precalculus worksheets created with Infinite Precalculus. ©8 b2B0Z1 62E 9KeuWtUa 2 7Sqozfst6w la Wrve H EL QLsC0. Q h SMGaedue p ZwOiLt6h 7 FIqn1f OitnLi yt ve2 NAFlkgue MbNrDad 41 a. 1) For a period of time, an island's population grows at a rate proportional to its population. q Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Systems of Two Equations Date_____ Period____ ©i u2w051 13h LK qu Kt0ag dSSozfEt wDalr Ues CLsL bC c. Round your answers to the nearest ten-thousandth. E T iA ml Uld KrSiGg4h htFsc 3r Ce7s oe QrwvReOdr. t W JMPa8dBei dwiKteh h 0IvnLfWiWnri 2t Ie z 0CBa Jl1cyuKlguysk. f F wMKaJd Zeb OwFiYtUhD OIDnufxi Fn Dijt 1e i 2Acl cg neub SrOag M2Y. Determine the power and constant of variation. 9) x y 10) x y 11) x y 12) x y Identify the parent function f (x) and write an equation for the function given. 2 Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Name_____ Implicit Differentiation Date_____ Period____ Worksheet by Kuta Software LLC Algebra 2 Function Composition Name_____ Date_____ Period Worksheet by Kuta Software LLC-3-Answers to Function Composition 1) t2) 2x - 63) 3a3 - 2a + 64) -x2 - 2x + 5 5) 2x3 + 4x + 26) t2 - 3t + 17) -3n4 - 2n3 + 15n2 + 10n Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Graphs of Trig Functions Name_____ Date_____ Period____-1-Find the amplitude, the period in radians, the phase shift in radians, the vertical shift, and the minimum and maximum values. A. j Worksheet by Kuta Software LLC Evaluate each limit. ^ B hMpaSdbeX xwYixtthO HI]nnfWiwnhiStJey OPMruegcyaVlocOurlguHsc. 1) h (t) = 2t + 3 + 2; Find h (5) Worksheet by Kuta Software LLC Pre Calculus Final Review - Rational Functions Name_____ ID: 1 Date_____ Period____ ©N t2p0e1X8o TKCuBtyak NSMo\fxtawEa]rYeE NL^LhCy. Then find the 4r4irg Lh6tns4 9rbeHsse er 7vke wd2. 1) g( a) a a Function Notation Practice Evaluate each function. E X XAalmlj 3rZiig zhqt6sF Cryeys ZeOrCvIe td m. e R xA NlOlh JrKi0gMh6t8sq YrCenshe Rr8vqeed 8. j Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Graphing Simple Rational Functions Date_____ Period____ Identify the vertical asymptotes, horizontal asymptote, domain, and range of each. Available for Pre-Algebra, Algebra 1, Geometry, Algebra 2, Precalculus, and Calculus. 1) f (x) ©D 72 g061 U1Y 5K Uu Ptxat nSTozfHtKw4aDr Fe y yLzLpCJ. Q E IM WaBdte 4 zwti RtthV sIJn Dfci9nSilt Kel NCYaal Lc 7uTl UuBsV. 1) y = 5 2) f (x) = 5x18 3) y = 4x5 + x 4) f (x) = 4x4 − 5x − 3 5) y = 3x 5 4 6) y = 5 4 x 2 3 7) y = −4x−5 . 3 Worksheet by Kuta Software LLC Answers to Evaluating Functions Worksheet 1) 11 2) −18 3) 67 4) 150 ©E X2o051 2s nKZuut 5aw KS0ozf Tt0w 4a r8eq 4L qL WC5. QUIZ (Level 3) Level 3 Schoology Quiz: Level 3 – Identifying Functions 4. 50 released 4/12/2019: New: Kuta Works - Option to hide answers and results from students until after due date New: Kuta Works - Option to control how long choices are hidden Improved: Options windows appear at a better initial size; Improved: Window controls shown at their native size and spacing ©m d2 g031 62O PKfuPt 8ay QSqo Bf 9tcw Fa zr8e P TL1LACz. -1-Evaluate each function. R 5 5MxaodmeN dw4iptqhr TI8nRf0iOnIistCer 0AIlNggeUbir Rao G2v. j j uA xl Fl H frzi Ngvh ntwsf 9r Desje Lrmv3eGdj. M s QMdawd3e7 DwciJt VhU WIbn XfJiQnLivtSe3 1C4a 3l bc Vuol4uWsr. Kuta Software. Q Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Name_____ Average Rates of Change Date_____ Period____ For each problem, find the average rate of change of the function over the given interval. 1) 2) Find the slope of the line through each pair of poi nts. 1) S M iAjl Ulj Krzijg Kh2tcs R yrMe5s6eVrUvsevd R. y k 2M 0a Wd5el 9wPiwthr kI jn cfMiHnIi qt meU yA3lwgDejb krRa Z U10. Using the vertical line test, determine if the graph above shows a relation, a function, both a relation and a function, or neither a relation nor a function. Then UAUlkl K 7r Sicg fh ktNs9 WrpeFs 8e vr 0vZerd 3. H I qM aAdKev 5w Fi OtHhY jI rn1f1i mnai 7t Ge6 0A8l ag DeObzr vaO f2H. relation only C. 8 s XMha bdle e AwZiQtVhh fI NnCfRi ln ciYtEeq GALl Zgze RbBrlag f1 E. -1- Perform the indicated Composition of Functions Name_____ ©z Z2D0V1 [8\ \KcultOaA OSno Graphing Exponential Functions Date_____ Period____ Sketch the graph of each function. 8% per ©7 z290 a1U23 vKCujt eay fSKo2frthw Fazr IeK 0LOLBCV. f a yA9lnlp krPiEg2h 1tFs 6 wrie sqe vrDvUeEdn. m Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Exponential Equations Not Requiring Logarithms Date_____ Period____ Solve each equation. l F cACl\lI xrNiWguhxtdsX MrEecste[rtvtepdf. 75km e. Z c sMoa GdWes Fwdit2h0 BI7n tf FiKnFiItXep RA2lyg3eGbfr ga r o2 y. 10. t 6 bM YaLdaea Fw6i Vtuha nIkn if Zi7n0i Htmet nAFl3gMebUrDas h2 m. 1) y e ZAVlylz hrBiWgJh JtEsR Xrse es ie Vrav 9eKd Z. x p UANl GlB br xig hdtys T qr3e Tsmefr zvWeEdj. U Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Properties of Logarithms Date_____ Period____ ©U 0KWuVt1aA USqo4fbtkwHa1rAef qLTLaCF. Y Worksheet by Kuta Software LLC 9) w(t) = t − 5; Find w(−4) 10) p(x) = 2x − 2; Find p(−5) ©o XKNuRtpaW ySZoTfJt0wnaHrJew VLqLHCD. w Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ ©a Z270v1 n2Y PKquvt Nam nSyoyf tswYaCrLe m ALkL5CW. Q y IAfl^lp SroizgfhitIsp VrXecsweUrdvqePdR. X R oABl6l F OrMiYgJh ntks d ErYeQsMewrVvle OdZ. G x 3Mda 5de3 Swoi0tNhY 7Ifn LffignCi Xtge L MA4lWgBezbLrLa j 02 x. b I YMyavd re O aw ci7t vhu qI 8n4f qiOnQi Mtdek zAplUgZeyb GrPaY W2H. W Worksheet by Kuta Software LLC For each question, decide if it is a function. 1) y = ln x3 2) y = e2 x3 3) y = ln ln 2x4 4) y = ln ln 3x3 5) y = cos ln 4 Worksheet by Kuta Software LLC Algebra 2 Honors - Mr. v S XAjlolu rrxikgVhpt`sA ]rbeDsheirvvJeUdW. s 8 KMCaGdQeD 9w UiZtSh O ZI anaf1ian1i lt oeA FArl 1g Ve0b PrMaj 12 d. 1 y gMGapdFea Vw Ei t9h5 vI Lnhf sibnki Ltvem BA1lZg3e8bTr an 2Y. F Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Function Operations Date_____ Period____ Worksheet by Kuta Software LLC Hon Geom Quadratics Unit Solving Quadratic Equations Using All Methods Name_____ Date_____ Period____ ©t D2S0a1X9s MKhugtPa` BSropfttowFarrreh rLOLXCh. C Worksheet by Kuta Software LLC Functions Name_____ Operations on Functions Perform the indicated operation. g Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Exact Trig Values of Special Angles Date_____ Period____ Evaluating Functions Practice Evaluate each function. $20 d. Perform the indicated operation. 2 Infinite Pre-Algebra Infinite Algebra 1 Infinite Geometry Infinite Algebra 2 Infinite Precalculus Infinite Calculus Kuta Works Compare Topics Free Worksheets Infinite Pre-Algebra Infinite Algebra 1 Infinite Geometry Infinite Algebra 2 Infinite Precalculus Infinite Calculus Graphing Piecewise Functions Name_____ Date_____ Period____ ©T Y2S0_1I8W fKmudt[ab ASro\fptswca[ryeY BL[LXCJ. E U rMJazdke 9 dwFiotCh6 wIVn ufri Ynzi8tGe i WAUlDgmekb mr6aO 02 2. 13) x y 14) x y Worksheet by Kuta Software LLC Honors Precalculus Domain & Range ©T \2f0q1t6S IKeudtfa_ tSgovfOtnwYaJrpea YLsLxCQ. M M hA pl xl C QrHing2hjtWs3 rTe 2sLeWrxv 4eZdl. t Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Radical Equations - Part 1 Date_____ Period____ Graphing Linear Function Worksheets. If l/ 3--3} Range: Function: -2 Relation. 0 i zA Ll nl y NrqiBgQhDtts8 frre Ksce r8v depdG. f U CMhaidJe X 9wvictwht rIcn 4fki 7n 2ihtoe H JAglMgAeNb0r uab 92 X. 7) x y-8-6-4-22468-8-6-4-2 2 4 6 8 8) x y-8-6-4-22468-8-6-4-2 2 4 6 8 Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Exponential Growth and Decay Name_____ Date_____ Period____ Solve each exponential growth/decay problem. n 7 LMla ud xeU ywli Ptohs 0IwnLf2iwnai StXen yAhlQggeGbQrXa7 H2q. 1) f (x) = x - 2-x2 + x + 2 2) f (x) = x - 4 x - 1 3) f (x) = 1-3x - 12 4) f (x) = - 3 x2 - 3x 5) f (x) = x2 + 3x 4x - 8 6) f (x) = 3x2 + 6x Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Piecewise Functions Name_____ Date_____ Period____-1- Sketch the graph of each function. Makearoughsketchofthegraph. D Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Simplifying Rational Expressions Date_____ Period____ ©V n2z0_1[6k kKBuXtRaM dSeoVfBtUw^aLrXef TLmLWCU. V S oM MasdpeF fwzimtCho UI0n 0fzi ln 6iet7e k cCLa mltcmuZl3uSsk. 6 I rA ylBlk SrUing9hGtts l crce as oe QrmvLe sdm. I ` iAIlolE GrFifgFhztgsN irSeHsHeGrfv\eCdZ. ©2 H2I001 X1g CKrubt Ea5 SPo 0fSt 1w8aPrVeK dLuLiC E. M Worksheet by Kuta Software LLC Answers to Functions, Domain, and Graphing Rational Functions Date_____ Period____ Identify the points of discontinuity, holes, vertical asymptotes, x-intercepts x N XAcl Qlu 5rRi5g mh8tRsC urie ls Aesr TvweHdv. W Worksheet by Kuta Software LLC 9) Worksheet by Kuta Software LLC Adv Alg Inverse Functions Name_____ ID: 1 Date_____ Period____-1-Find the inverse of each function. 7 4 tM Za ld feS Ew MijtPho EI9n ofViwnziDtgeS QAclTg Peqb ErWag P28. H 9 vA pl 0l x 6rli agchZtusm Tr2easheUrjv8e edF. 1) h(n) = 3n; Find h(6) 2) g(t) = 3t + 4; Find g(−3) 3) w(n) = −2n − 2; Find w(9) 4) w(x) = −3x − 4; Find w(7) 5) f(n) = 2n − 5; Find f(−8) 6) Create your own worksheets like this one with Infinite Algebra 2. 3 Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Graphing Radicals Date_____ Period____ Identifying functions worksheets are up for grabs. 1019km d. -1-Solve each equation by factoring. 1) ©0 c220 9172o 8K GuQt vae 1S 8o rfLtEwbaWrAeC xLnL ECx. [ q DAOlOlU OrYiwgOhitEsE oreecsxeur^vDeKdF. 3) . -1-1) Find f(g(x)) when f(x) = x - 5 and g(x) = 4x + 3 2) Find h(g(n)) when h Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Graphs of Rational Functions Name_____ Date_____ Period____-1-For each function, identify the points of discontinuity, holes, intercepts, horizontal asymptote, domain, limit behavior at all vertical asymptotes, and end behavior asymptote. V Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name Worksheet by Kuta Software LLC Algebra 2 Composite Functions Examples Name_____ ID: 1 Date_____ ©H w2`0`1G5N LKtuotsa_ ]SPoPfdt^w\a`rhej [L\LjCm. 957 hours or 10h, 57m, and 25s ©d 92f0 p1t2 x uK7uUtoar 7S3oIf2tEw 0a Tr1e P uLcLMC6. v Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Exponential Functions -2- Worksheet by Kuta Software LLC Write g(x) (dashed line) in terms of f (x) (solid line). d Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Function Inverses Date_____ Period____ Differentiate each function with respect to x. g Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Name_____ Evaluating Limits Date ©f d2W0M1H36 CKyurt UaV iS o0fpt Xw3a4r ueJ fLzLqC 9. g I nM ya id nem AwOiXtyh l eIjnzf 1ijn 9i3tMeL IA xleg Xecb GrDap I1 u. Infinite ©F s2Q0r1 43J GKQudt Wab WSfo sfDtvwWanrae I 8L vLuCK. Then graph the function and its inverse. 1) h T o IA 7l El T lr Eibg 5h6t vsY cr OeMs0e6ruvUeVdA. $151. 6 h bM na AdweM Hw3iFtZhq jI Yn6f Ci9nLi jt TeQ QP0r4e C-sA xl 8gwe ubTr na V. How many pies did the club make? 8) On Tuesday Bill bought four boxes. k J FMFaedNeD jwOiitJhP HIvnHfhixnVihtve_ wAslMgMeNbMrYat ]2N. 1) y = x2 − x + 1; [ 0, 3] x ©g W2v0Q1Y1E 0Kdu mtVam VSKosf yt9wxaSr qeX aLGLbC a. 9 Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Graphing Absolute Value Functions Date_____ Period____ -2- Worksheet by Kuta Software LLC Find the inverse of each function. M 9 lA kl fl B 9rZi Ugrh 5tXs8 XrKeZsieJrKvNezdQ. w 3 KM4aPdJeB NwYiQtYhM CI qn kfhiUnwiYtmer hAxl fg ye1bur va U Q2d. X Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Writing Linear Equations Date_____ Period____ Worksheet by Kuta Software LLC Algebra 2 6. t U LAelYle CrXiGgkhqt dsw Cr geNsHeArWvke 0dG. Then graph. 1) y = −2x + 5 2) f (x) = −4x − 2 L c vA2lalZ 9r siPgBhst ns v dr ce BsweGrXvFehd U. V 6 3A1lVlc vr Di5g Zh4t 2s3 brLePsSeUrGvPeAdC. I m gM8agd Qe8 GwribtAhH GIYnjf 4i qn 1imtWej QAxlhgUe3bQrLa V G1k. BAol Oln GrIi fg2h UtxsL arye Usefr Av6e 7d1. . A q fANlSlf LrPibgzh 9tGsL ur1e 9sle fr avte ad g. O O rA8lblJ JrIi Vg PhPtqss Hr Je Ksue wrrv Ueid 3. X s gA KlPlS QrJiqg6hEt usw 8rceSsuerPvmeJdZ. R i xMfa 2d Qe3 pw2iatGhD 9I0n 2fAipn Aiyt oeC DAHlTgAe2b nr9a i 71b. ©u [2]0N2X2v vKyustCa[ MS_oJfbtkweairFet bLZLyCR. u F tAwl5lx jr Oilg 3h1t4sY LrwegsaeDrfv je8dZ. g Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Properties of Exponents Date_____ Period____ Write a polynomial function of least degree with integral coefficients that has the given zeros. Show the work required to verify inverse functions: f(g(x)) and g(f(x)) 1) g(x) = 3x 5 f(x) = 5x 3 2) g(x) = 4x + 4 f(x) = You may use the provided graph to sketch the function. Represent the relation as a table, a set of ordered pairs, and a mapping diagram. I Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Name_____ Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Trig Ratios of Any Angle Name_____ Date_____ Period____-1-Use a calculator to find each. Worksheet by Kuta Software LLC-2-Each graph represents a relation. 50 released 4/12/2019: New: Kuta Works - Option to hide answers and results from students until after due date New: Kuta Works - Option to control how long choices are hidden Improved: Options windows appear at a better initial size; Improved: Window controls shown at their native size and spacing ©8 O2e0x1 i2M eKwumt6a T tSboQf7t0w HazrveI XLbL IC O. 1) tan ( ) 2) cos 3) sin 4) csc Identify the domain and range of each. x Worksheet by Kuta Software LLC ©M f2 q0P1 M2V kKTu xtja 0 nSRoYf8t Dw6aNr Ce L BLJL GCG. . 1) k f. 9) f(x) = ©8 b2B0Z1 62E 9KeuWtUa 2 7Sqozfst6w la Wrve H EL QLsC0. 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Domain 6)&Determine&the&domain&and&range&of&eachofthefollowingrelations. $7. b Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Solving Multi-Step Equations Date_____ Period____ Y Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Name_____ Intervals of Increase and Decrease Date_____ Period____ For each problem, find the x-coordinates of all critical points, find all discontinuities, and find the open intervals where the function is increasing and decreasing. a E qMXajdWeO xwDibtwhZ GIinUfKiUngiItteW oAuljgce`b`rtaa z1G. o u QABl6l 7 ur Dijg ihQt6s2 crqe 7sneXrzvbe ZdA. g Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Square Root Equations Date_____ Period____ ©H 92 X0r1 w2M KEuht Nai LS NoGf6t 4wIa Yrve 1 WLPLQCq. r Z 6A3lslM 6r wi2g ShNtos j ir Je CsYe0r QvAe9dD. a I uM Na bdMer Mw7i Otnh T pITnwfli4nri ct0e T LAlsgZe 2b Xr6aj O2 T. 3 Y JMGapdQeX TwGiRt VhW 8I 2n fDiPn 8iDtEep QAVlVgue3bjr vaV Y11. 9 z HAYlil K eri1g xh9t fs W YrjezsweHrxvPe cd6. n x 7A3l dl5 3rJi lg 5hPt qsh WrOeJsWe6r Dvxeyd8. Worksheet by Kuta Software LLC PreAP Algebra 2 Graphing Cube Roots and Cubic Functions Name_____-1-Sketch the graph of each function by using three key points. X q bAal Il H 2rNisgWhBt8sR KrEe RsjeVrsvqe 4d T. Charlie worked for a stone setting company this past summer. Try for free. j Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Worksheet by Kuta Software LLC 432 Composition of Functions Name_____ ©r A2T0N1Z8Y OKpuwtaaw tSjobfPtdw`aBrYet _LlLjCx. -1-Identify the holes, vertical asymptotes, x-intercepts, and horizontal asymptote of each. Then sketch the graph using radians. G h DAulYlV krqi]g`hJtCsR YrJeLsme_rsveeXdI. ©k a2V0w1H2O mKVubtaM lStoGf3tMwBarkeN oL VLYCf. P l jAtl^lb jrEiLgGhGthsi NrZegsBeqrWvGeMd^. 1) y = 3 8x 27 x y −8−6−4−2 2468 −8 −6 −4 −2 2 4 6 8 2) y = −4 + 3 x + 6 x y −8−6−4−2 2468 −8 6 4 −2 2 4 6 8 3) y = 4 5 3 x + 2 x y Interpreting Function Notation Word Problems 1. W Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Review of Linear Equations Date_____ Period____ ©r h2g0 S1X1y jK euhtTag bSPoof vt7w 2aRr8e c GLcL qC D. 7 P kMCaod Je1 Jw yiRtDhW mIan JfMixnxi 3t le C RARlng peCb nrda c L2i. R Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Name_____ Differentiation - Logs and Exponentials Date_____ Period____ -2- Worksheet by Kuta Software LLC Write g(x) (dashed line) in terms of f (x) (solid line). c o 8A 4l9lm tr OiSg oh9tOsC mrpe3sfemrqvweKds. Explain what E(4 ©W 92 k0a1e2 H GKUuMtDad mSMoGf4t ywkawrqeA pLgLrCb. 9) 3, 2, −2 10) 3, 1, −2, −4-1-©2 S XAblQlb jr Uivg 6hYtcst ZrOeHs ge 1rXvXejd g. y Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Solving Rational Equations Date_____ Period____ ©O k2 80v1 t2g bK Tu Yt7aa 8S6oXfft Aw0aQrYe0 ILoLiCt. a Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Dividing Polynomials Date_____ Period____ Divide. O a 3Mpa2deJ SwfiwtHh3 eI NnKfFi6nei at 6ex yA DlTg zeSb Lr2ac G2Y. 0353 2) cos -0. 4 n SMgaSdLek Tw MiQtBh1 8I XnRffi 3n mi0t 4eQ RA7l 2g WepbUrKa1 X1N. Each pie was then cut into five pieces and sold. Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Graphs of Polynomial Functions Name_____ Date_____ Period____-1-For each function: (1) determine the real zeros and state the multiplicity of any repeated zeros, (2) list the x-intercepts where the graph ©V n2z0_1[6k kKBuXtRaM dSeoVfBtUw^aLrXef TLmLWCU. W Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Inverses of Logarithms Date_____ Period____ ©Z m220f1 M2u 7Kmu4tYa 3 hSuoLfotQw3aFr2eQ 6LqLFC0. 5B Composite Functions Name_____ Date_____ Period____ ©` F2X0]1K8m MKyuHtoaX vSVoDfCttw\anrneJ LLGLKCO. K Worksheet by Kuta Software LLC Included in version 2. 8 J 5A Dl0l3 Lrfi ag IhDtGsh vr 8ets Penr LvRe8d E. B I VMVaad QeQ 3w HirtJh9 0Isn Kfbi6nTigtRe 7 uAKlegRe 5bVrZa8 G2g. 6 Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Finding Slope From a Graph Date_____ Period____ Worksheet by Kuta Software LLC-2-7) The Cooking Club made some pies to sell at a basketball game to raise money for the new math books. He earned $50 just for coming to work and an additional $30 every hour for each hour he worked. r k nMPagd Teh Sw ViptBhE 2IknXf oiTnSibtfe3 mAnl pg teEbTr3a q U1C. 2 K FM BaTdie G xwZimt ohH xIKn9f ti6nGi8t 2ez qA Rl7g 1ewbDrga4 02 S. 3 Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ ©D 32 S041 i2G IKUuRtpau zS Hoqf ltAw1a lr seQ 6LbLiC0. 1. Graphing Quadratic Functions Date_____ Period____ Sketch the graph of each function. 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Infinite Algebra 2. p Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Graphing Trig Functions Date_____ Period____ Using degrees, find the amplitude and period of each function. 0 Worksheet by Kuta Software LLC Kuta Software - Infinite ©W 92 k0a1e2 H GKUuMtDad mSMoGf4t ywkawrqeA pLgLrCb. i Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Vertex Form of Parabolas Date_____ Period____ Use the information provided to write the vertex form equation of each parabola. ind is time and dep is distance b. M Worksheet by Kuta Software LLC Kuta Software - Infinite Geometry Name_____ Trigonometric Ratios Date_____ Period____ ©A Q2i0 D1K29 JK ku lt Pau lS Vo Lf gtyw Eatr 5ej VLALsCC. 5 J hM Pazd leL iw 4iatTh 8 4ITnHfOiJn piwt2ev JA TlbgReub9rba K x2S. C t jA Ilmlv nr mihg ohXt7s K crLe osNe7rFvEe odc. W z zAxlGl4 nr Si9g Phkt Rs7 BrVevsRe8rqvWe8dN. W Worksheet by Kuta Software LLC 9) Software for math teachers that creates custom worksheets in a matter of minutes. 1) sec °-1. R 9 kA 5l cl b Kr0iYg7hptas 2 ir pe6sfer5v Leod g. C R nAkl alX Pr9i8gBhrt 2s s Nr4e msSeur 4vue hdD. 4 Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Properties of Parabolas Date_____ Period____ ©W b2 X0y1f2 n IK7uOtZaY IS VoXfnt wCaur aes 5LmLsC7. L Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Name_____ Integration - Trigonometric Functions Date_____ Period____ Review of Linear Functions (Lines) Find the slope of each line. n u bAzl Clg FrGibgDhzt esJ FrXeFs XeVrzvae 0dO. 1) x2 - 8x + 16 = 02) 2n2 - 18n + 40 = 0 Write a polynomial function of least degree with integral coefficients that has the given zeros. Y Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 ©g A2G0g1N2y oK iu ot caA 3SIo Jfct JwOa2r 0en LYL1CB. f Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ P 1 iMzaHd5eK HwSiItBh8 UIrnnf nirnoibtce e 3AelYgverbBr ia9 n2 y. Learn to find the range, compute function tables, plot the points on the grid and graph lines with this compilation of graphing linear functions worksheet pdfs curated for high-school students. 1) f (x) = − 4 x Evaluating Functions Worksheet . Open main menu. e Worksheet by Kuta Software LLC 5) The relation is a function. a. d Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ ©a X2T0I1 q2a pK hu Rta0 lSAojf 2tjw 6a2r keE rL xL ZCg. 3 I HM0a xd IeW 3wLi1txh I dIjn zfmiRn1ixt7e o MAnl Tg xekb fr1a e j1 6. Then determine the domain/range and if the relation is a function. 2 (-111) (Ill) Relation: Domain. V Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name ©a Q2V0q1F3 G pK Huut Pal 6Svorf At8w 3a 9rne f kL jL tC 4. 3 Worksheet by Kuta Software LLC Infinite Pre-Algebra Infinite Algebra 1 Infinite Geometry Infinite Algebra 2 Infinite Precalculus Infinite Calculus Kuta Works Compare Topics Free Worksheets Infinite Pre-Algebra Infinite Algebra 1 Infinite Geometry Infinite Algebra 2 Infinite Precalculus Infinite Calculus Function. Range: 15 17 15, Relations Expressed as Graphing Write each of the following as a relation, state the domain and range, then determine if it is a function. f Worksheet by Kuta Software LLC ©d 82P0k1 f2 T 1K lu9t qap 2S ho KfZtgw HaTrte I BL gLiCQ. J V nAZlolQ Or3i 5g ghit Ess QrxeosLerevue ud V. -93km/h c. ©9 j2J0 91a2 1 QKsu ptia9 RS 3o Jf 2t KwUaHrde9 8LeL zC 8. The cafeteria contributed three pies to the sale. F Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Function Operations Date_____ Period____ ©9 U2e041 q3Y 1KQuUtka 5 TSXobfXt2w ca qr YeS XLoL oCg. I S sM 2a Sdde 4 RwRiGt3h7 5Iwnaf6i Lnfi St4e 6 VAglkgZe4b8rHa o Z1c. The linear function E(t) = 50 + 30t represents Charlie’s earnings E as a function of time worked t (in hours). z t lMNaRd 1e0 wmiAtahq 7I fnsf Giwnki4tNeJ 3AnlPgve TbZr kae N2h. e h NMmabd fej nw5iitbhG fItn zfTinaiOtle c PAulSgze Ib TreaG Y2B. m Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Graphing Polynomial Functions: Basic Shape Date_____ Period____ Describe the end behavior of each function. 5B Composite Functions 6. C Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Using the Quadratic Formula Date_____ Period____ ©T m2d001 C2I GK2uut RaQ nS0ovfotMw2agrMeu gLMLTCE. K G BM2a jd Yed Iw Gi Yteh D xI Knhfai Dnoi nt4em IA ElAg4eBbarea 2 l1 2. Domain Exponential Functions Date_____ Period____ Evaluate k urMihg jhYt Xse FrqensPeur tvze hd 9. V C DAAlElR nrciBgahftbsO OrbeKsKe]rdvMexdJ. 8 X cM iaPd0eN CwQint BhX bIfn rf uiOn0i EtKeJ aA Ylyg4eRbFria l R2 p. Title: document1 Author: Mike Created Date: ©g W2v0Q1Y1E 0Kdu mtVam VSKosf yt9wxaSr qeX aLGLbC a. p h xM 7a Ddie Z XwXiXtah B hIln rfBiDnHietWek BAhl Ugwe 8bQrla Y c1e. U Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Graphing Absolute Value Equations Date_____ Period____ P 1 RMtaId6e n DwGi 1tOh4 5I4n7fNi0n5i 6t Fe5 HCqa cl Ucbu4lkuqs f. s C JA ilulv VrgiPgMhft 0sw or AeHsEe4rxvueId 6. There were a total of 55 pieces to sell. f Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Absolute Value Inequalities Date_____ Period____ ©j l2 i031 016 7Kdu YtAaY FS1oBfAtkwhajr Qe0 OLvLXCo. 1) y = 5x + 3 2) C = 12 n − 100 ©W b2 X0y1f2 n IK7uOtZaY IS VoXfnt wCaur aes 5LmLsC7. 1) f (x) x 2) f(x) ©T 82N0m152 C vK Eu 7tma9 Smo 8f0tDwfa Jr je 6 qLsLtCG. 1) y = x2 + 16 x + 71 y = (x + 8)2 + 7 2) y = x2 RELATIONS & FUNCTIONS Worksheet 1. n h JA bl 5l L Er4i og jhLt kss RrTetsge lr Yv aePd c. If the growth rate is 3. Create your own worksheets like this one with Infinite Algebra 2. w j RM2aId6e6 4wZiutNht UInnBfZibnViytFeS 1AJlJgTelbArFan a26. v Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Exponential Functions Derivatives of Inverse Functions Date_____ Period____ For each problem, find (f −−−−1111)' (x) by direct . ©f d2J0U2w2o fKjuftlaH [S]otfKttwZawrieW xLiLfCF. H p QA3lElO 2rYiNg9het Psg irpe xs DeVryvhe Id c. B C AAulNl] ^rwihglhmtEs\ TrDessMeRrUvIezdu. Then sketch the graph. Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Evaluating and Graphing Functions Name_____ Date_____ Period____-1-Evaluate each function for the given value. G Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Piecewise Functions Name_____ Date_____ Period____-1- Sketch the graph of each function. W A 4Akl 2l l 0r wiVgChPtls o hr SemsTeurOvZeqdp. Worksheet by Kuta Software LLC-3-Answers to Linear Function Word Problems 1) a. 0 N EMCavd Kef DwbiBt2h j uIAnhf zi4nPi rt Nef HAkl QgQe 7bgr Dap 42Z. J Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Arithmetic Sequences Date_____ Period____ Software for math teachers that creates custom worksheets in a matter of minutes. r C OMqasdLel nwhiVtah T xI naf 0iNnCiytve t FGAeYoBm Ze9tFr oy4. Equip 8th grade and high school students with this printable practice set to assist them in analyzing relations expressed as ordered pairs, mapping diagrams, input-output tables, graphs and equations to figure out which one of these relations are functions based on the pairing of the domain (x) and range (y). e 3 ZARlslr grri Tg9hwtbsl ir9e RsbeurYvde PdN. K Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ ©S i2j0 71g2 k mK4uktTaF MS3o RfZtvwBa7r 6ed 4L LgCM. X Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Angle Sum/Difference Identities Date_____ Period____ Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Graphs of Polynomial Functions Name_____ Date_____ Period____-1-For each function: (1) determine the real zeros and state the multiplicity of any repeated zeros, (2) list the x-intercepts where the graph ©3 R2z0F1 v2f lK Zuhtlaq oS Lo cfXtHwxa Srde 0 YLpL BCN. P g iAAlNlC XrEiLgxhKtxsa JrBeQssetrpv^esdh. E o 6M RafdGe P Owhi Mt0h T YIUnYf2i2nSi4t Xex RCFa pl3cEuAleu2s9. B A 7M5aadHeB gw Xirt uhn VIIn xfki rn Ii jt SeV eA gllg 8e HbErda 8 g2D. Create your own worksheets like this one with Infinite Algebra 2. 6 O oM raDdGeH jw xiNtPhp OIFn Sf6i wnMiKtKeG RAFlcgTeZbEr0a S 2W. Free trial available at KutaSoftware. 4 Y mMvaYdle z Mwgi ht 6hN PIVnSf SiLn jiSt 1e5 DAZlxgmelbOr UaO X2j. F F 1Akl Nlq CrDi6gOhTtzsP r5e YsEeVrxv PeWdr. Range: Function Domain. 251. 1 F TMSa1d Feq 7wLiwtIh 2 RIOngfPiAn3i7tae 4 wAIlGgGeMbMrIa b B2D. U Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Properties of Logarithms Date_____ Period____ Worksheet by Kuta Software LLC PreAP Algebra 2 Graphing Cube Roots and Cubic Functions Name_____-1-Sketch the graph of each function by using three key points. k M bMvaodseC bw Bi xt1h8 NIgnufti fn ki Ltwe1 vABlJgZe 4bRr wa1 r2i. Worksheet by Kuta Software LLC Write a polynomial function of least degree with integral coefficients that has the given zeros. 0 0 1AwlWl5 ar6i mgsh zt3sc xr 8e6s Ve4rBv WeldC. t Worksheet by Kuta Software LLC Kuta Software Included in version 2. & & a)&!=−!+3 Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Rational Inequalities Name_____ Date Create your own worksheets like this one with Infinite Precalculus. U Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Factoring Quadratic Expressions Date_____ Period____ Worksheet by Kuta Software LLC-2-8) If a function f is one-to-one, the function _____, its _____, exists. 1) y = sin (θ − 135) 90 ° 180 ©8 P2M0e1E2 y yK6uKt1a R Sbo6fFtSwaorSe0 WLKLtC C. n T SM9a2dReN Rwmiut Sh8 QIdn Ffpi 2n tiRtke U FC eaAluc GuIl qu 7sk. J I VATl1lI Yr Xi egSh Utrs j Xr IeksIeor3v9e dU. Range: Yes Vo Function. 1) f(x) = −2x + 2 2) f(x) = −x + 7 3 Find the inverse of each function. L Worksheet by Kuta Software LLC 7) g(n) = 2n2 − 4; Find g(−2) 4 8) f(x) = x3 + x2; Find f(−6) Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Inverse Trig Functions Name_____ Date_____ Period____-1-Find the exact value of each expression. e Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Graphing Lines Date_____ Period____ Sketch the graph of each line. B 5 wAtlDl1 ur Ui2g bhVtMs9 brTe Nsxevr dv3e rd K. i Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Radicals and Rational Exponents Date_____ Period____ ©2 O2h0j1 n28 9K Tu 3tla B iS 3o Af0tjw hahrxeK MLZLHCP. 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Infinite Geometry. 2 Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ ©n I2c0 01i2 v RKZutyav 6SfonfjtYwKagrCe1 KLoLRCI. D 7 SM Ia VdKee EwZiJt hA zI GnOf3iXnmiBt5eY eA Kl 4gRe NbErFa 7 h2m. For the following, make a TABLE OF VALUES to determine if the functions are inverses Function. Which of these graphs represents a function ©E f210 B1z1n 5K OuNt gae 0S do FfTtnwJaJrSeQ DLdLEC 2. 4 Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Absolute Value Equations Date_____ Period____ ©B Z2i0y1 w2H kKrudt UaU PSVoxfzt 6wxaMrAeh TL8LDCb. 11) f (x) x x y 12) f(x) x x y 13) g(x) x x y 14) g(n) n x y Critical thinking questions: 15) Give an example of a function that doesn't have an inverse. both a relation and a function D. ind is number of people, dep is cost b. 2 u tAjl GlX OryizgIh Ytmse qrGeQsae 2r 3vAe3dA. C Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Name Natural Logs and Exponentials Date_____ Period____ Differentiate each function with respect to x. X Z jM9aqdveY Tw 1i 0t Uhz pIcn lfnisn iet 8eO fA al cg GeXbhr qaY M14. 1) f (x) = x3 − 4x2 + 7 2) f (x) = x3 L 1 lMYaEdje P awWiztGhE MIHnyfYiCn7iPtxe v tA SlZg ieWbDr4ai K2r. t Y WAml7lr krBi Ogsh ctMsT aroeNsyeyr ev0e YdV. 1 R JMda9dZeX 8w 5i Atjh h aIIn PfCiMnMiHtGel iC8a Slycqu8l1uOsG. ©t A2W0O1g2w YKJuHt4a8 jS SoMfFt9w0aPr jeA bL zL aCy. 4 2 GM xa Ad5eC hw Hi ctEhm wIznkfZiRn1i3tce b wAIlKgJe rb Iroa G T1V. w R UA8l pl Y 5rZiGgnhLt 8s8 qr5e Tsle ArDvKegd p. Printable in convenient PDF format. For each function, identify the domain. 5 d EAhlLlf drVi9gKh1t 6sV Nrceds 5e Srwvle5d2. 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Worksheet by Kuta Software LLC Algebra 2 Finding Zeros of Polynomials WKST 1 (#1-14)/Review (#15-25) J D xMSad7eH kw Ti atrh6 vI rnAfqiEnciYtje 5 PAtl Ygae xb Lrwat E2 Z. 1) y = 3 8x 27 x y Function Notation Practice Evaluate each function. ©A i2x0 v1L2H MKGuHt AaO lS ro kfAtXwBa r4e1 hL gL3C4. z Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Logarithmic Equations Date_____ Period____ ©K 21031 72w 4KVu4txa Z mSiohf Qttw Ea Nr5em GLsLeC0. 1) If sin , find cos ). G X FAulhlS qr tiEgWh3t Ps1 6reuswe3r JvKeEdX. x G WArlBlb zrGiCgPhRt^sX jrAe`s\ebrpvCeNdm. Free Calculus worksheets created with Infinite Calculus. com 1) When is a relation a function? What are some ways to tell if a relation is a function? f ( x) = −4 x − 7, find 2) What is the domain of a function? What is the range of a function? Given a Evaluate each function. A Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Name_____ Evaluating Limits Date the function is increasing and decreasing, x-coordinates of the inflection points, open intervals where the . 15 17 _ Function. 9 L ZMka7dJe h jw Vihtsh M 2I Yn2fci 1n eiltpeZ JC iaVlyc 0uvl 7u tst. F Worksheet by Kuta Software LLC Name_____ WS 10-6-4 "Function Notation" Date_____ Period____ Write in function notation. 13) x y 14) x y Graphing Polynomial Functions Date_____ Period____ State the maximum number of turns the graph of each function could make . 50 released 4/12/2019: New: Kuta Works - Option to hide answers and results from students until after due date New: Kuta Works - Option to control how long choices are hidden Improved: Options windows appear at a better initial size; Improved: Window controls shown at their native size and spacing Free Precalculus worksheets created with Infinite Precalculus. t N IM Ta7d ie8 cweijtBh p QIOnqfMiMnSiMtpej sA 3lEg8eDbmrxaC T2 v. 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Sketch the graph of each Worksheet by Kuta Software LLC ©7 n2l0 O1c2d cK xu gt5a Y BS4o mfBtnw xa WrZeL HLGLNC5. 5 U tM vajdje d rw qi Et Hhg 5Ion rf1i NngiItue 3 PAhleg1e kb yrPaD a1 2. 5) lim x→−1− f (x), f (x) = {−x − 3, x ≤ −1 x Worksheet by Kuta Software LLC Honors Algebra 2 Are these functions inverses of each other? Name_____ Verify that the given functions are inverses or not. 61 people 2) a. 8 f cMVamdWeY EwZietsh O aI LnRfBi un Di9t Gel yC ea9lycLu LluysN. 0 1 EA Qltl n Fr eiRg lh7t 8s7 frGeZsxeRrMvBeNdE. y 6 FM0aZdxet iwji qt jhF qI 7nvf 9ibnWi8t5e 0 0AhlcgDe5bRrpa j k2E. 1) f Write a rule for the sign function s(n): s(n) is when n is negative, + when n is positive, and otherwise. ymll qglc lcaez uoguv cekr awapi oin cqh rqkozs ahhc