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Precalculus composition of functions worksheet answers pdf of Technology
• Algebra I tasks are limited to linear, quadratic and exponential functions of the form f(x)=a(b) x where a>0 and b>0 (b≠1). • Work with geometric sequences may involve an exponential equation/formula of the form a n =ar n -1 , …Answer two questions about these functions. ... Precalculus. Course: Precalculus > Unit 1. Lesson 5: Verifying inverse functions by composition. Verifying inverse functions from tables. Using specific values to test for inverses. Verifying inverse functions by composition. Verifying inverse functions by composition: not inverse. Verifying …CHAPTER 2 Polynomial and Rational Functions 188 University of Houston Department of Mathematics Example: Using the function P x x x x 2 11 3 (f) Find the x- and y-intercepts. (g) Sketch the graph of the function. Be sure to show all x-and y-intercepts, along with the proper behavior at each x-intercept, as well as the proper end behavior. Solution:Example 1.4.13. Write f(x) = 3 + √5 − x2 as the composition of two functions. Solution. We are looking for two functions, g and h, so f(x) = g(h(x)). To do this, we look for a function inside a function in the formula for f(x). As one possibility, we might notice that 5 − x2 is the inside of the square root.Topic : Composition of Functions - Worksheet 1 ANSWERS 1. 15 2. -23 3. 127 4. 4x + 1 5. 1176x2 + 672x + 96 6. 84x2 + 4 7. (f ... Topic : Composition of Functions - Worksheet 2 ANSWERS 1. 19 2. -34 3. 224 4. 5x + 1 5. 32x2 + 256x + 512 6. 32x2 + 256x + 512 7. (f ...Topic : Composition of Functions - Worksheet 2 ANSWERS 1. 19 2. ... Topic : Composition of Functions - Worksheet 5 ANSWERS 1. 213 2. 369 3. 237 4. 82 5. 56 6.-2- Worksheet by Kuta Software LLC Find the inverse of each function. Then graph the function and its inverse. 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. Jun 14, 2021 · Composition of Functions. When the output of one function is used as the input of another, we call the entire operation a composition of functions. For any input x and functions f and g, this action defines a composite function, which we write as f ∘ g such that. (f ∘ g)(x) = f(g(x)) Day 1 - Parent Graphs and Transformations Worksheet 1 - Answer Key. Day 2 - Parent Graphs and Transformations Worksheet 2 - Answer Key. Day 2 - Graphing Rational Functions - Notes. Day 2 - Listing Discontinuities Homework Answer Key. Day 3 - Graphing Rational Functions Worksheet - Answer Key. Day 4 - Review Before Test - …Exercise 71. Exercise 72. Exercise 73. Exercise 74. Find step-by-step solutions and answers to Precalculus - 9780076602186, as well as thousands of textbooks so you can move forward with confidence.Harder limit problems sciency.tech 6. lim x!5 p x2 + 24 7 x2 25 Solution: Similar to the previous problem, directly plugging 5 into xgives us 0 0, so we need to use another approach.so our final answer is 2x + h. Activities to accompany “Functions Modeling Change”, Connally et al, Wiley, 2015. 1 ...©W 92 k0a1e2 H GKUuMtDad mSMoGf4t ywkawrqeA pLgLrCb. 5 d EAhlLlf drVi9gKh1t 6sV Nrceds 5e Srwvle5d2.z t lMNaRd 1e0 wmiAtahq 7I fnsf Giwnki4tNeJ 3AnlPgve TbZr kae N2h. F Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Function Operations Date_____ Period____1.4 Composition of Functions; 1.5 Transformation of Functions; 1.6 Absolute Value Functions; 1.7 Inverse FunctionsFinding the Domain and Range of a Function from its Graph. Piecewise Functions. Average Rate of Change of a Function. Increasing and Decreasing Functions. Relative Maxima or Minima. Arithmetic …The easy level worksheets introduce the concept of composition of two or three functions, evaluating functions, offering linear, quadratic and constant functions, while the moderate levels builds on and enhances skills acquired involving polynomial, exponential, logarithmic and rational functions. Learn to decompose functions as well.Some students say they have trouble with multipart functions. Other say they have issues with continuity problems. Here is a random assortment of old midterm questions that pertain to continuity and multipart functions. See if you can complete these problems. Solutions are posted online. Remember a function f(x) is continuous at x = a if lim x!a f(x), lim x!a f(x), …Exercise Set 1.1: An Introduction to Functions MATH 1330 Precalculus 1 For each of the examples below, determine whether the mapping makes sense within the context of the ... functions. Express answers in interval notation. (Hint: When finding the range, first solve for x.) 43. (a) 3 ( ) 2 f x x = + (b) 5 ( ) 2 x g x x + =Prepare your students for calculus with topics like continuity, limits, rate of change, vectors, matrices, and more. Use our printable precalculus worksheets for in-class practice, …Another way to combine functions is used frequently and plays an important role in both precalculus and calculus. ... Composition of functions with the absolute ...-2- Worksheet by Kuta Software LLC Find the exact value of each expression. 9) csc (cos ) 10) cos sec 11) csc sec 12) sin (sec ) 13) sec cot 14) tan (sec ) Identify the domain and range of each. Then sketch the graph. 15) y sin cot x x y That is, we get the output of. Web free printable composition of functions worksheets! Live worksheets > english > math >. Composition Of Functions Worksheet 2 Answers kidsworksheetfun 36 Precalculus Composition Of Functions Worksheet Answers support Composition Of Functions Worksheet Answers Of Functions …Identify the parent function f (x) and write an equation for the function given. 13) x y Parent: f(x) x g(x) (x ) 14) x y Parent: f(x) x g(x) x Create your own worksheets like this one with Infinite Precalculus. Free trial available at KutaSoftware.comCool Living And Non Living Things Worksheet Pdf Answers 2023. Differentiate characteristics of living and nonliving things through words and pictures. ... Formulas and functions are used in worksheets to perform figurings and analyze data. Formulas can be used to perform basic arithmetic operations, while offices can be used …Our pdf composition of two functions worksheets are most appropriate for high school children. Composition of Two Functions - Level 1 Your practice will take off after answering these printable exercises, where the task is to replace every occurrence of x in the outer function with the inner function, in order to combine the two functions.Graphing Functions Using Stretches and Compressions. Adding a constant to the inputs or outputs of a function changed the position of a graph with respect to the axes, but it did not affect the shape of a graph. We now explore the effects of multiplying the inputs or outputs by some quantity. Definition of the derivative. Instantaneous rates of change. Power rule for differentiation. Motion along a line. Approximating area under a curve. Area under a curve by limit of sums. Indefinite integrals. Free Precalculus worksheets created with Infinite Precalculus. Printable in convenient PDF format. pdf.png. docx.png. Lesson Handout. Answer Key. pdf.png. Experience First. In this lesson students build their own composite function by expressing regularity in ...Harder limit problems sciency.tech 6. lim x!5 p x2 + 24 7 x2 25 Solution: Similar to the previous problem, directly plugging 5 into xgives us 0 0, so we need to use another approach.This booklet contains the worksheets that you will be using in the discussion section of your course. Each worksheet contains Questions, and most also have Problems and Ad-ditional Problems. The Questions emphasize qualitative issues and answers for them may vary. The Problems tend to be computationally intensive. The Additional Problems areThe Parent Function is the simplest function with the defining characteristics of the family. Functions in the same family are transformations of their parent functions. Family - Constant Function Family - Linear Function Family - Quadratic Function Graph Graph Graph -5 Rule !"=$ Domain = (−∞,∞ ) Range =$ Rule !"="Free Precalculus worksheets created with Infinite Precalculus. Printable in convenient PDF format.Exercise Set 1.1: An Introduction to Functions MATH 1330 Precalculus 1 For each of the examples below, determine whether the mapping makes sense within the context of thePrecalculus Worksheets On this page you will find: a complete list of all of our math worksheets relating to Precalculus. Choose a specific addition topic below to view all of our worksheets in that content area. ... Basic Function And Transformation - You need to study the basic functions and transformation of those essential functions. You ...Chapter Outline. 1.1 Functions and Function Notation. 1.2 Domain and Range. 1.3 Rates of Change and Behavior of Graphs. 1.4 Composition of Functions. 1.5 Transformation of Functions. 1.6 Absolute Value Functions. 1.7 Inverse Functions. Toward the end of the twentieth century, the values of stocks of internet and technology companies rose ...Create a Function by Composition of Functions. Performing algebraic operations on functions combines them into a new function, but we can also create functions by composing functions. When we wanted to compute a heating cost from a day of the year, we created a new function that takes a day as input and yields a cost as output.Pre-Calculus: Chapter 4 Rational Functions Practice Test Short Answer 1. Find the domain of the rational function. Q(x) = 2. Find the domain of the rational function. Q(x) = 3. Use the graph to determine the domain and range of the function. 4. Use the graph to determine the domain and range of the function.Displaying all worksheets related to - Combination Functions. Worksheets are College algebra combining functions, Combining functions work, Combinations, Combining functions by addition subtraction, Pre calculustrig 3 name function combinations, Combinations of functions composite functions, Permutations and combinations work …©W 92 k0a1e2 H GKUuMtDad mSMoGf4t ywkawrqeA pLgLrCb. 5 d EAhlLlf drVi9gKh1t 6sV Nrceds 5e Srwvle5d2.z t lMNaRd 1e0 wmiAtahq 7I fnsf Giwnki4tNeJ 3AnlPgve TbZr kae N2h. F Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Function Operations Date_____ Period____Algebra 1 function notation worksheet answers. Showing top 8 worksheets in the category algebra 1 function notation answer key. Algebra function worksheets with answer keys. G x 3x l f x x 7 h x x j x 2x 9. Some of the worksheets for this concept are algebra i name function notation work algebra i name k3 9 function notation work …IXL Practice Worksheet Q7 (Alg1) At least to 90 Score = _____ Level 3: Evaluating Fuctions Buzzmath Create Evaluating a Function 2 examples of evaluating a function 3. QUIZ (Level 3) Schoology Quiz: Level 3 – Evaluating Functions Level 3 4. REMEDIATION Correct Mistakes on Quiz and Do Another Practice Activity Mr. Sieling’s Signature Introduction to Functions; 1.1 Functions and Function Notation; 1.2 Domain and Range; 1.3 Rates of Change and Behavior of Graphs; 1.4 Composition of Functions; 1.5 …front and the back of each page. Be sure that you answer 35 different questions. A special answer sheet is provided so that your answers can be machine graded. • You must use a pencil with a soft black lead (# 2 or HB) to enter your answers on the answer sheet. • For each question choose the response which best fits the question. Medicine Matters Sharing successes, challenWorksheet by Kuta Software LLC Precalculus 1.3 Then the function f f takes g(x) g ( x) as
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Math 3 Unit 3: Polynomial Functions . Unit Title Standards 3.1 End Behavior of Polynomial Functions F.IF.7c 3.2 Graphing Polynomial Functions F.IF.7c, A.APR3 3.3 ... Justify your answer. 7. 𝑓𝑓(𝑥𝑥) = 4𝑥𝑥 ... Math 3 Unit 3 Worksheet 4 Name: Factoring and Graphing Polynomial Functions Date: Per: _____ [1-6] Completely factor the following polynomials. ...be able to add, subtract, and multiply. The students will be able to compose functions and evaluate them, given their equations. The students will also be able to decompose a composite function. Materials: Hw #1-1 answers overhead; Do Now worksheet; pairwork; hw #1-2 Time Activity 10 min Homework Review Put up the answers to hw #1-1 on the ...Pre-Calculus Review Worksheet Answers 1. Write the equation of the line with slope 5 that passes through (¡3;7). y = 5(x+3)+7 2. Write the equation of the line with slope -4 and has a y-intercept of 9. y = ¡4x+9 3. Write the equation of the line that passes through the points (¡2;7=11) and (18;14). y = 147 220 (x+2)+ 7 11 4.The two functions yx ln and y ex are commonly used in the study of calculus, and it is a good idea to familiarize yourself with them. The function yx ln has domain x 0and the function y ex has domain all real numbers. Note: The properties of logarithms can be performed in either direction. In certain cases it might beFree printable Function worksheets (pdf) with answer keys on the domain/range, evaluating functions, composition of functions ,1 to 1 , and more.Identify the parent function f (x) and write an equation for the function given. 13) x y Parent: f(x) x g(x) (x ) 14) x y Parent: f(x) x g(x) x Create your own worksheets like this one with Infinite Precalculus. Free trial available at KutaSoftware.com Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Extrema, Increase and Decrease Name_____ Date_____ Period____-1-Approximate the relative extrema of each function. 1) x y ... Create your own worksheets like this one with Infinite Precalculus. Free trial available at KutaSoftware.com. Title: document1 Author: Mike4.Let## €# f(x)=2x−1and### g(x)=x2−4find# #####a. € (f g)(x)# #####b.(g f)(x)##### c. (f g)(2)### d.(g f)(2)#5.If € f(x)=x+5and# g(x)=x2−2xfind## Precalculus Practice F.BF.A.1: Compositions of Functions Page 1 www.jmap.org [1] gf(( )) = –3 –22 [2] fg(()) = 217– [3] A [4] A [5] C [6] gf f g(()) = , (( )) = 3 578 32–2 [7] B [8] B [9] Answers may vary. Sample: fx x() 2 and gx x() 4 [10] To get p 1 4 F HG I KJ, qx() will have to equal 1 4. That means 5 1 4 x2 or x2 19 4 which makes x ...Our pdf composition of two functions worksheets are most appropriate for high school children. Composition of Two Functions - Level 1 Your practice will take off after answering these printable exercises, where the task is to replace every occurrence of x in the outer function with the inner function, in order to combine the two functions. a. What is (f o g)(3)? b. What is (f o g)(7)? 3) Given f(x) = 2x – 7 and g(x) = -3x + 1, show all work to find each of the following: a. Find (f o g) (-2) b. Find (g o f)(-1) Composition of …Worksheet 4.8 Composite and Inverse Functions Section 1 Composition We’ll begin by de ning the composition function f g(x) = f(g(x)), which is read as \f of g of x". Another helpful way to think about these is to call them \a function (f) of a function (g)". To calculate this function for a given x, rst evaluate g(x), which will give us a number,Chapter Outline. 1.1 Functions and Function Notation. 1.2 Domain and Range. 1.3 Rates of Change and Behavior of Graphs. 1.4 Composition of Functions. 1.5 Transformation of Functions. 1.6 Absolute Value Functions. 1.7 Inverse Functions. Toward the end of the twentieth century, the values of stocks of internet and technology companies rose ... Test your understanding of Polynomial expressions, equations, & functions with these % (num)s questions. Start test. This topic covers: - Adding, subtracting, and multiplying polynomial expressions - Factoring polynomial expressions as the product of linear factors - Dividing polynomial expressions - Proving polynomials identities - Solving ...1.1.6 Make new functions from two or more given functions. 1.1.7 Describe the symmetry properties of a function. In this section, we provide a formal definition of a function and examine several ways in which functions are represented—namely, through tables, formulas, and graphs. We study formal notation and terms related to functions. 7 Functions Examples: Functions are most commonly written as yfx , where x is the input value and y is the output value. In other words, the value for y is completely determined by the value of x. Sometimes x is referred to as the independent variable and y as the dependent variable. The domain of a function is the set of all the values that can be …Day 1 - Parent Graphs and Transformations Worksheet 1 - Answer Key. Day 2 - Parent Graphs and Transformations Worksheet 2 - Answer Key. Day 2 - Graphing Rational Functions - Notes. Day 2 - Listing Discontinuities Homework Answer Key. Day 3 - Graphing Rational Functions Worksheet - Answer Key. Day 4 - Review Before Test - …Aug 1, 2017 · Sample Problem 3: Find and then evaluate each composite function. Decomposition of Composite Functions When you form a composite function, you “compose” two functions to form a new function. It is also possible to reverse this process. You can “decompose” a given function and express it as a composition of two functions. Although there is Composition of Functions ... Math Worksheets Name: _____ Date: _____ … So Much More Online! Please visit: EffortlessMath.com Answers Composition of Functions 1) 6 2) −6 3) 4 4) 20 5) 10 6) 28 7) −14 8) 24 9) 19 10) 41 11) −31 12) 5 T+1 13) −15 14) 21 15) 14 16) 86 17) 15 18) T−10 19) −66 20) −24 21) 18 22) 179 23) 60 24) 8 bit.ly/2WHBkAg t …"Exponential functions are functions that have the form f(x)=ax." As each family of functions is introduced, we motivate the topic by looking at how the function arises from life scenarios or from modeling. Also, we feel it is important that precalculus be the bridge in level of thinking between algebra and calculus. In algebra, it is common to seeA piecewise function is a function whose definition changes depending on the value of its argument. The function is defined by different formulas for different parts of its domain. For example, we can write the absolute value function f(x) = | x | as a piecewise function: f(x) = | x | = { x if x ≥ 0 − x if x < 0.Composition of Functions. When the output of one functioThe process of combining functions so that
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Exercise Set 1.1: An Introduction to Functions MATH 1330 Precalculus 1 For each of the examples below, determine whether the mapping makes sense within the context of theWorksheet 4.8 Composite and Inverse Functions Section 1 Composition We’ll begin by de ning the composition function f g(x) = f(g(x)), which is read as \f of g of x". Another helpful way to think about these is to call them \a function (f) of a function (g)". To calculate this function for a given x, rst evaluate g(x), which will give us a number,a heartbeat then you should be well prepared for what comes up in a beginning calculus class. This worksheet is meant as a study guide and review of material from geometry, algebra 2, trigonometry, and precalculus, and does not constitute a replacement for taking those classes. 1.1 Parent Functions1.4 Composition of Functions; 1.5 Transformation of Functions; 1.6 Absolute Value Functions; 1.7 Inverse FunctionsThe composition of functions f (x) and g (x) where g (x) is acting first is represented by f (g (x)) or (f ∘ g) (x). It combines two or more functions to result in another function. In the composition of functions, the output of one function that is inside the parenthesis becomes the input of the outside function. i.e., In f (g (x)), g (x) is ...Find inverse functions. a. Solve an equation of the form f ( x )= c for a simple function f that has an inverse and write an expression for the inverse. For example, f ( x )=2 x3 or f ( x )= ( x +1)/ ( x –1) for x ≠1. b. (+) Verify by composition that one function is the inverse of another. c. (+) Read values of an inverse function from a ...Precalculus: Average Rate of Change for 12 Basic Functions Practice Problems Note: Sketching the modified 12 basic functions y = ... Either answer is acceptable. Page 3 of 6. Precalculus: Average Rate of Change for 12 Basic Functions Practice Problems 3. The function has a fraction (it’s what we will call a rational function), so expect to find a …A piecewise function is a function whose definition changes depending on the value of its argument. The function is defined by different formulas for different parts of its domain. For example, we can write the absolute value function f(x) = | x | as a piecewise function: f(x) = | x | = { x if x ≥ 0 − x if x < 0.Precalculus composition of functions worksheet answers pdf Precalculus worksheet answers. Pre-Calculus 11- Course OutlineFile Size: 29 kbFile Type: pdfDownload File Date Assignment Due Date Sept 23 Get Course Outline Signed Sept 24 Sept 23 Workbook: P. 89-91 #1-8 Sept 24 Workbook: P. 92-94 #9-14 Sept 25 Workbook: P. 100-102 #3-5, 7-9 Sept 29 Worksheet: Simplifying Radicals QUIZ: Section 2.1-2. ...Worksheet by Kuta Software LLC 432 Composition of Functions Name_____ ©z Z2D0V1[8\ \KcultOaA OSno\fLtswMavrYev rLTLYC^.R X iARlclY KrKiSg\hDtYsJ hrfeVsueMrbvIemdr. ... Piecewise Functions. Average Rate of Change of a Function. Increasing and Decreasing Functions. Relative Maxima or Minima. Arithmetic Operations with Functions. Compositions of Functions. Transformation of Functions. Absolute Value Functions. Inverse Functions. Linear Functions. Graph of Linear Functions. Modeling with Linear Functions ...Worksheets. The following is a list of worksheets and other materials related to Math 122B and 125 at the UA. Your instructor might use some of these in class. You may also use any of these materials for practice. The chapter headings refer to Calculus, Sixth Edition by Hughes-Hallett et al. Published by Wiley.Composition is a binary operation that takes two functions and forms a new function, much as addition or multiplication takes two numbers and gives a new number. However, it is important not to confuse function composition with multiplication because, as we learned above, in most cases f ( g ( x)) ≠ f ( x) g ( x).86 Chapter 1 Functions and Their Graphs Composition of Functions Another way of combining two functions is to form the composition of one with the other. For instance, if and the composition of with is This composition is denoted as and reads as “f composed with g.” Composition of Functions Given and find the following. a. b. c. Solution a. This page titled 3.4E: Composition of Functions (Exercises) is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by OpenStax via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request. QUESTION ANSWER A ANSWER B 1 What is the form of the function: y = 2x2 + 3x + 2 Intercept Form Standard Form 2 What is the form of the function: y = 2(x + 3)2 – 10 Vertex Form Intercept Form 3 What is the form of the function: y = – (x + 3) (x – 8) Intercept Form Standard Form 4 What formula will find the x-coordinate of the vertex for standard form? …Each output of a function must have exactly one output for the function to be one-to-one. If any horizontal line crosses the graph of a function more than once, that means that y y-values repeat and the function is not one-to-one. Chapter 2: Functions and Their Graphs. All assignments are due at the start of the next class period. The first assignments of this school year will be completed on paper: Current assignments are currently not available on Mathxl, the precalculus online homework program. For full credit, use separate paper: please write your full name, class ... Composition of Functions MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. For the given functions f and g , find the indicated composition. f(x) = 5x + 10, g(x) = 3x - 1 (f∘g)(x) A) 15x + 9 B) 15x + 15 f(x) = 4x2 + 6x + 8, g(x) = 6x - 5 (g∘f)(x) A) 24x2 + 36x + 43 C) 4x2 + 6x + 3 f(x) = + 4,This Unit Is Designed For A Level 1 Precalculus Class And. Function operations and composition worksheet. A function relates an input to an output. ... Web Function Composition Worksheet (Answer Key) Is A Math Worksheet Designed To Help Learners Activate Prior Knowledge, Understand The Lesson, And Practice. ... 42 composite …©W 92 k0a1e2 H GKUuMtDad mSMoGf4t ywkawrqeA pLgLrCb. 5 d EAhlLlf drVi9gKh1t 6sV Nrceds 5e Srwvle5d2.z t lMNaRd 1e0 wmiAtahq 7I fnsf Giwnki4tNeJ 3AnlPgve TbZr kae N2h. F Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Function Operations Date_____ Period____ Worksheet by Kuta Software LLC 432 Composition of Functions Name_____ ©z Z2D0V1[8\ \KcultOaA OSno\fLtswMavrYev rLTLYC^.R X iARlclY KrKiSg\hDtYsJ hrfeVsueMrbvIemdr. ...Worksheet 4.8 Composite and Inverse Functions Section 1 Composition We’ll begin by de ning the composition function f g(x) = f(g(x)), which is read as \f of g of x". Another helpful way to think about these is to call them \a function (f) of a function (g)". To calculate this function for a given x, rst evaluate g(x), which will give us a number, COMPOSITION of FUNCTIONS Worksheet Evaluate each composite value 1. If f (x) = 3x− 5 and g(x) = x2 , find f (g (3) 2. If f (x) = −9x− 9 and g(x) = x− 9, find f (g (10) 3. If f (x) = −4x ... Microsoft Word - Composite Function Worksheet Answers Author: LEE_JOSHUA1-12; these chapters cover functions, their graphs and some basic exam-ples. This material is fully developed, in case you need to brush up on a particular topic. If you have never encountered the concept of a function, graphs of functions, linear functions or quadratic functions, this course will probably seem too advanced.David Lippman and Melonie Rasmussen. Precalculus: An Investigation of Functions is a free, open textbook covering a two-quarter pre-calculus sequence including trigonometry. The first portion of the book is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear ... sequence is designed for your own worksheets