Function kuta Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Interpret functions that arise in applications in terms of the context For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. com ©O h280x1a2W OKBuIt1aK ySSoMfbt0w0a7rmes ILDL8CV. Practice graphing piecewise functions with this worksheet. com Graphing Logarithmic Functions Date________________ Block____ Identify the domain and range of each. High School level. Create your own worksheets like this one with Infinite Algebra 2. Test and worksheet generator for Calculus. j b BMua6dcej rwmiFtkhE LIknLf0iAntiht4eB wCIaflacBurluu3sv. Answers to Composite Functions Examples (ID: 1) 1) 4x - 2 4) 9a2 + 24a + 17 8) -t2 - 3 12) 85 22) h(x) f (x) g(x) x x g(x) x Create your own worksheets like this one with Infinite Precalculus. 3 I HM0axdIeW 3wLi1txhI dIjnzfmiRn1ixt7eo MAnlTgxekbfr1ae j16. X U CMkapdiew QwVi`t_hB VItn]fBiXnqiWtnei LAxlNgheAbSr`a] E1r. y c ^Ayljlp nr\iZgZhutNss nroe]sseBrOvqeNdD. com Algebra 2 worksheet on graphing rational functions. V u nASlvlh `rVipgKh[tOsW OrmebsaearLvwerd`. com Infinite Precalculus covers all typical Precalculus material and more: trigonometric functions, equations, and identities; parametric equations; polar coordinates; vectors; limits; and more. R v wAclRl8 3ruiFgYh1tNs3 jr5e7sOeVrbvXeId7. 3) f Determine if each function is continuous. Then graph the function and its inverse. z Use the definition of the derivative to find the derivative of each function with respect to x. After that, order of operations is key Free Algebra 2 worksheets created with Infinite Algebra 2. 2 Evaluate each function. ] U FATlSl` irqiigJhntcsT irKeUsmeorqvCeUdh. com Create your own worksheets like this one with Infinite Algebra 1. com Graph the functions. H G cMga_doee ]wSiAtthC dIDnofWipnRiQtEeC IPJrMeZcDaxltcQuhlfuhsz. Identify (0, A) and (1, A 1) 3) Create your own worksheets like this one with Infinite Algebra 2. s C JAilulv VrgiPgMhft0sw orAeHsEe4rxvueId6. 1 F TMSa1dFeq 7wLiwtIh2 RIOngfPiAn3i7tae4 wAIlGgGeMbMrIab B2D. o ^ UA_lPlD QrzitgNhhtmsm NrKensbeArUvxeKdw. com ©c Q2C0S2C2l gKouUt`ak gSboSfztiw`aerZes nLhLyCQ. Your answer should be in slope-intercept form. com Test and worksheet generator for Algebra 1. Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus ©2 Y2e0f1U4B GKbuQtSa4 xS3o4f9tFweaCrten dLELkCH. com ©n l2S0G1Q6A nKvuftfaN OS_oafWtwwwajr`e] ELSLtCO. V r WAjlrly hrBijgmhntRse Wr8eksfeArbvDeidi. For Precalculus students. Includes composition, addition, subtraction, multiplication, and division of functions. Range: -1 £ y £ 5 Range: -6 £ y £ 4 Create your own worksheets like this one with Infinite Algebra 2. X Relative max: No, the function can't be decreasing to the right of x and decreasing just left of x yet jump from y to y with no periods of increase without being discontinuous. u F tAwl5lx jrOilg3h1t4sY LrwegsaeDrfvje8dZ. End behavior asym. r G jAZlTlC `rviigNhytAsJ UrjeUsFeyrmvTepdb. g ( a ) a a Create your own worksheets like this one with Infinite Algebra 2. j o qAalklJ 7r1iDgIhztTsx 6r5e1smebrhvSeQdW. com. y 3 lMsaldFez kwri8t8hG fIHndfriinGiNtHeP 9AIlSgoeFb8rpao T2F. H -3- V _M\a_dheK swjiotUhe cITn_feidnEijt]eS DAtlsggeZbkrHah i1x. Differentiation - Natural Logs and Exponentials Differentiate each function with respect to x. Lastly, graph the function and its inverse on the same graph. Find the inverse of each function. com Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware. 2log a + 2log b log x − 5log y log x + log y + 2log z Free trial available at KutaSoftware. com Create your own worksheets like this one with Infinite Calculus. Interpret functions that arise in applications in terms of the context For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Available for Grade 6, Pre-Algebra, Algebra 1, Geometry, Algebra 2, Precalculus, and Calculus. Round to the nearest tenth. 12) Give an example of a limit of a quadratic function where the limit evaluates to 16. : y Create your own worksheets like this one with Infinite Precalculus. Create your own worksheets like this one with Infinite Precalculus. w j RM2aId6e6 4wZiutNht UInnBfZibnViytFeS 1AJlJgTelbArFan a26. j b PAtljlh vrviagphEtpsb ^rOe`s^eKrbv]eMdc. There are over 85 topics in all, from multi-step equations to constructions. _ M UMkacdSeQ xwWigtVhd BIRnafliBnTittXea KPzriejcsaJlHcrusllu\sQ. x Draw the line y = x with dashes on each graph. All rights reserved. 5 9 MAmldlJ Er6iZgKhStFso PrieNsQe6rHv7evd0. 7 y6 + 1 ( f −1) 1 '( x) = 15 y4 + 2 Create your own worksheets like this one with Infinite Calculus. i 1 lMoaKdGe5 WweiStuhr UIwnofAijnzi7tgeC YAQl3goeqbcrmaM v16. v 17) Review of Linear Functions (Lines) ©7 y2W0m1A0N 4KBu9t2ab HSTosfOtkwia8rHeQ ILFLbCR. p V \MHaEdOel hwniZtyhU HIgnWfliQnnittKeN yParZeScQapl^cRualYuQse. X ^ dMdaFdzeU ywFiNtah] PILndfriSnfihtmep KPvrMefcBaCl`cAuJlIu[sf. J Differentiate each function with respect to the given variable. One quick tip is to remember to keep parentheses around the entire quantity you are plugging in to the function (especially if there is more than 1 term). Create your own worksheets like this one with Infinite Algebra 2. Determine the domain and range, intercepts, end behavior, continuity, and regions of increase and decrease. Keep the same base and include the exponent. l s VARlilZ OrciVgyh5tXst prgeksiePrnvXeXdO. F 19) Find 21) Range: -5 £ y £ 1 Range: -7 £ y £ 6 Create your own worksheets like this one with Infinite Algebra 1. 6 5 7 {(-7, 6), (-6, 5), (-3, -2), (-1, 0), (2, 7), (5, 1)} Domain: {-7, -6, -3, -1, 2, 5} Range: {-2, 0, 1, 5, 6, 7} The relation is a function. com Interpret functions that arise in applications in terms of the context For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. com 1 5 7 {(-4, 0), (1, 7), (1, -7), (2, 1), (4, -5), (5, -7)} Domain: {-4, 1, 2, 4, 5} Range: {-7, -5, 0, 1, 7} The relation is not a function. Free Pre-Algebra worksheets created with Infinite Pre-Algebra. . B E pM^amdhej ^wji]tThJ IIKnqfEiunHibt_et eAzlJgYekbvrta] ]2A. How many pies did the club make? 8 Create your own worksheets like this one with Infinite Pre-Algebra. com Free math worksheets created with Kuta Software Test and Worksheet Generators. r p DM3aGdTeD BwWi4tDh5 MIlnqfJiancijtAeN NAZlagceRbQrjay P2L. If the function is not continuous, find the x-axis location of and classify each discontinuity. G X FAulhlS qrtiEgWh3tPs1 6reeuswe3rJvKeEdX. Differentiation - Trigonometric Functions Differentiate each function with respect to x. Try for free. r k SAsl5lD crQiigXhytcsE RrneDsUezrZvLeNdd. Then find all rational zeros. com Differentiation - Logs and Exponentials Differentiate each function with respect to x. P S AAPlolZ XrMiKgNhQtAsp ar8eusSecrlvnevdT. Infinite Precalculus covers all typical Precalculus material and more: trigonometric functions, equations, and identities; parametric equations; polar coordinates; vectors; limits; and more. Y y x y x Create your own worksheets like this one with Infinite Precalculus. 3 Create your own worksheets like this one with Infinite Algebra 2. U U fAfl3lG LrEihglhjtWsF nrdeosEenrgvJe8dX. Inverse Trig Functions Find ©KH2]0o1p6T OKYuKtWaI KSForfwttwDa^rIel oLYLaCB. 9 L ZMka7dJeh jwVihtshM 2IYn2fci1neiltpeZ JCiaVlyc0uvl7utst. 3) sin 7) cos Privacy Policy© 2025 Kuta Software. com ©z g2o0r1J2p oKXugtyag xSUoxfqtFwLaxrWe0 1L2LSCm. ©K x2T0Y2o2l hKduvtTaS _SKoofxtxwNaIrfed ILTLBCr. Your answer should contain only positive exponents. com ©qa2v0Q1Z6A UKUuetYaw pSYonfLt[wuabrzeB CLmLRCq. f (x) x x , x x , x Create your own worksheets like this one with Infinite Precalculus. Free Algebra 2 worksheets created with Infinite Algebra 2. Worksheet by Kuta Software LLC 9) The police have accused a driver of breaking the speed limit of 60 miles per hour. 9) 12) Give an example of a limit of a quadratic function where the limit evaluates to 9. Then find the inverse of each function. t Graphing Exponential Functions w/Transformations Date________________ Class____ whether it is growth or decay. w V jMIa0ddeR hw9it IhP 7I1nZfKiknxiytXey FAslmgxeFbsrWar R2C. Find the measure of each angle indicated. com ©e q2Z0V1u25 8Kvuxtkah GSSof ptdw9aprHeH 8LeL9Cd. Practice function operations with this Algebra 2 worksheet. com Identify the parent function f ©A[2[0g1x6F SKQustAal hSAoZf`tMw]alrAeT LLELvCN. Simplify quotients. ©D M2L0T1g3Y bKbu6tear hSBo0futTwjaZrTeA 9LwLtCq. Many answers. com Determine whether this picture is an example of a function, relation, function and relation, or neither relation nor function. com Create your own worksheets like this one with Infinite Algebra 2. Q State the possible rational zeros for each function. Mar 31, 2025 ยท Function tables are a great way to visually represent the relationship between input and output values in a function. f ( x) = sin 2 x3 Critical thinking questions: 13) Write a polynomial function f with the following properties: Create your own worksheets like this one with Infinite Precalculus. com ©Gj2k0o1F6K ZKEuWtKak gSQohfptFwsawrre[ ELFLPCp. ©r f2y0A1E6w UKwu[taay JSkoNf`t`whaursed mL[LLC_. com Extra Practice of Rational Functions For each function, identify the holes, intercepts, horizontal and vertical asymptote, and domain. Operations on Functions Perform the indicated operation. w k kAFlmlB FrziRgvhTtAsU br2eEsIemrevGeIdA. Test and worksheet generator for Pre-Algebra. b E IMRaqdPes Bwdijtyhx eIcnMfsi_nBictKej JPIryeYciaVldcyuXlouVsR. Use the definition of the derivative to find the derivative of each function with respect to x. t Worksheet by Kuta Software LLC Interpret functions that arise in applications in terms of the context For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Then sketch the graph. y There were a total of 60 pieces to sell. L Y VMGa3dFeB DwKictshx lIPnvf2iEnmiPtoeT WAjlGgiepbXr0a9 d2u. The second photo shows the driver's car passing another toll both 31 miles down the highway at exactly 6:30 PM. s(n) n , n , n 10) Write a rule for the function shown. One photo shows the driver's car passing a toll booth at exactly 6 PM. com 14) Given an example of a two-sided limit of a function with an absolute value where the limit does not exist. Designed for all levels of learners, from remedial to advanced. d 3 dAMlolz lrOitgnhTtusT FrWeCsieirIvUeSdP. com 20) h ( x ) = −7; Find h ( x − 3 x + 1) Kuta Software - Infinite Algebra 2 Differentiation - Inverse Trigonometric Functions Differentiate each function with respect to x. 9) Find the exact value of each trigonometric function. 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 member of the domain, how do you find its value in the range? f ( x) = −3 x2 − 2 x + 1, find Free math worksheets created with Kuta Software Test and Worksheet Generators. This worksheet from Kuta Software helps students practice identifying patterns and rules in function tables. 2 L EMVaodNeG lwxictDhI AIcnafoi0nliqtxec oCtaSlbcOuRlTuvsg. com State the maximum number of turns the graph of each function could make. , translate right Create your own worksheets like this one with Infinite Precalculus. f Create your own worksheets like this one with Infinite Algebra 1. v N oMGakdIev Mw`iTtchk [ITnrfYiqnhigtgeu DPzrHeGcIaglKcvualYumsL. com ©O Q2h061r2D jKduMtsaq 9SRoufltBwsaGryea cLgLpCF. M D aA6lylF truikgVhbtns6 XrtefsFetrVvzeEdt. x y rAOlJlf PrEiMgzhStqsa wrieYsEetrsvneFdW. Create customized worksheets in a matter of minutes. 13, 8, 7, −13, −8, −7 Many answers. com c2p0V1e6g vKIuytcak HShozfBtUwCahryer BLFLGCD. 5 7 RM0aOdaeB Tw8iCtOhe TI0njfDiznuiHtzee FAdl2g9eTbAraaQ W2k. 9) ©U 0KWuVt1aA USqo4fbtkwHa1rAef qLTLaCF. com Free Calculus worksheets created with Infinite Calculus. k d BArlolN Qrli3gAhZtEsN Yrwe7sPeVrSv3eFdV. 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B Y wMwaVdDem fwOihtwh\ mIrnkfKiunkiYt]eX UAQlrgHejbhrTap X2i. com ©7 z240Q1g3s 9K8uXtpa1 tSooIfrtPwNanrYes 5LSL2Cx. Create your own worksheets like this one with Infinite Calculus. E O TA[l_lR wrIiCgzhjtFsx FrPeWsFeJrQvGeKdT. Answers to Graphing Quadratic Equations (ID: 1) ©Z ^2m0E1H7X YKfuHtbal nSPo\fYtKwNaPrgey mLkLACk. com ©J O2Y0h1E2R MKDu6tAaX kS6oSfQtbwdaWrfeY DLoLbCl. com Free Algebra 1 worksheets created with Infinite Algebra 1. Ex: f ( x) = x − 25 Create your own worksheets like this one with Infinite Algebra 2. Software for math teachers that creates custom worksheets in a matter of minutes. ©S C2b0U1725 TKruAtGah lSKoofltIwfaSr6eC OLzLtCD. S Create your own worksheets like this one with Infinite Algebra 2. As proof, they provide two photographs. com Consider each power function. com ©y M2J0T2R2m \Kcustka^ ]SIorf`tnwuaSrbeh KLFLDCc. Worksheet by Kuta Software LLC 12) Give an example of a limit of a quadratic function where the limit evaluates to 9. f W vMJard[ec awZi[tDhK ^IdnFfhiynPiKtgeC VPWraeAcBaalUchuklsuDse. x h 0M8a7d3ee mwEi8tnhc vIrnzfLiLnPiHtUeA vANlkgeeXb1rzaj d1y. E U KMxaBdeei nwyiDtHhy aI7nuf9i8nniatreD oPZr0es-5AYlqg7eJboruaJ. com ©A Z2p0b1M3t sKju3tna6 MSsoQf9tewraBr9eC 5LKLyCW. G 7 YAjljlC 3ryixgLh9tNsb mrReDs8eXrVvkexdZ. t Create your own worksheets like this one with Infinite Algebra 2. X P mAhlgli oraiaguhqtLsa orGezsUejrlvYetda. Suitable for any class with geometry content. This classification can be determined graphically or algebraically. _ Evaluating Functions Practice ©b t2R0O1v4g vK8uctwaU sSRo0fgtBwRa2r1eE jLvLoC8. Over 100 individual topics extend skills from Algebra 2 and introduce Calculus. com ©n I2c001i2v RKZut yav 6SfonfjtYwKagrCe1 KLoLRCI. Create your own worksheets like this one with Infinite Algebra 1. V ] RA^lhll LrRiQg]hStish krieisGeTrwvSe_dJ. Includes various function definitions and graph templates. com Worksheet by Kuta Software LLC Create your own worksheets like this one with Infinite Pre-Algebra. com ©X R260t1V2w oK0uCtkaH 4SQoOf2tkwta3rgeo IL1LfCG. ©D O2c0_1V8c LKyugtDaX gSyoQf\tHw_aXr\em ]LbLrCN. J F fA`lTln jreiwgphxtOsq \rbebsyeurAvqeXdQ. 1) y = log (x + 5) + 2 3 Create your own worksheets like this one with Infinite Algebra 2. umu gupavmq zpe ejyfqsw kgreqn ekse mpe yreml gduqys yjh wukcep nkkt sylnfwzh qyls adnep