Rational Functions Test Review Answers

Exam Review. "Graphing Rational Functions" Worksheet #1 - Horizontal Asymptotes Find the domain, vertical asymptotes, and horizontal asymptotes for the following rational functions. If you need to review how to evaluate a function, click here. horizontal asymptote at y = 9 Answers. UNIT 1 - BASIC EQUATIONS, INEQUALITIES, and FUNCTIONS. Matches graph (c). Step 3: '1' Under Student Resources, click on and take the Interactive Practice Quiz Lesson 8. 4) Multiple Choice Identify the choice that best completes the statement or answers the question. 3 CST TEST: Take CST at appointment #4. 2/14 19 8-3D Wksht Key 8-3D Graphing Rational Functions Key. The online math tests and quizzes on positive, negative and rational exponents. The Smiths spend 23% of their monthly income on food. 9/16 – Writing Trig Equations. 77 ⋅ 710 2. Algebra 1 answers to Chapter 11 - Rational Expressions and Functions - Cumulative Test Prep - Multiple Choice - Page 708 1 including work step by step written by community members like you. What is the value of −2. Test and improve your knowledge of Rational Functions & Inequalities with fun multiple choice exams you can take online with Study. E15 - Answer Key; E15 - Answer Key with Work; Test Tuesday on Unit E; Thursday, 02/21/2019. Each one has model problems worked out step by step, practice problems, challenge proglems and youtube videos that explain each topic. If you're behind a web filter, please make sure that the domains *. Rational Functions Test Review Name_____ Date_____ Period____ ©a B2Z0L1o6[ nKAuGtwaO ISuoSfKtOwCagrMes OL`LcC^. About This Quiz & Worksheet. Rational Functions. We will use it to lead into Limits, which is the first AP Calculus Unit. A mixed review sheet on simplifying, adding, subtracting, dividing and multiplying. Extra Practice (blank, answers) 3. In this chapter we study rational functions - functions which are ratios of polynomials. • Use Descarte’s Rule of Signs to determine the possible number of positive or negative roots of a polynomial equation. Find the value of x. As students complete the Graphing Rational Functions worksheet, I am going to quickly check it for completion. Good luck! NON-CALCULATOR SECTION. Power, Polynomial, and Rational Functions Graphs, real zeros, and end behavior Dividing polynomial functions The Remainder Theorem and bounds of real zeros Writing polynomial functions and conjugate roots Complex zeros & Fundamental Theorem of Algebra Graphs of rational functions Rational equations Polynomial inequalities Rational inequalities. Math III Unit 3: Rational Functions & Expressions Practice Test Name: Graphing Rational Functions & Asymptotes - F. Multiply 33 82 89 27 12 xy yx 2. Chapter 1: Solving Linear Equations: 1. Identify the transformations from the parent graph 1 fx() x , state the domain and range and find the. 1 Answer to Write and fully test a class that represents rational numbers. Then sketch the. Key - Rational Functions Review File. Graph a Rational Function: n = m + 1. Quizlet Live - Trig Graphs URL. 7 Multiply radical expressions. Quiz on PC E11 and E12; E15-Rational Functions Review; Test next Tuesday on Unit E; Wednesday, 02/20/2019. 7D 1 Graph the following rational function. Test Test #1-26 100 Day Date Lesson Assignment Choice Total Monday Sep 09 2. Polynomial Functions (Algebra 2 Curriculum - Unit 5)This bundle includes notes, homework assignments, three quizzes, a study guide and a unit test that cover the following topics:• Operations with Monomials (exponent rules review)• Classifying Polynomials• Operations with Polynomials (add, subtract,. Write the answer on the space provided. 2, Goal 1 Zero and Negative Exponents 11. Reduce the rational function to lowest terms, if possible. I can review the Rational Functions Unit. 2/14 19 8-3D Wksht Key 8-3D Graphing Rational Functions Key. (Not assigned, but has some good problems) U2 Review key U2 Test key Wed 10/30 Review Matching Activity blank key In class review key Thurs 10/31 Unit 2b Test (no calculator section). - Graph and analyze reciprocal functions (limited to thereciprocal of linear and quadratic functions). The Rational Zero Test. (link to functions-evalution. Unit 7 Homework Calendar. x-intercepts at (2,0) and (7,0) ii. Learn algebra 2 rational functions with free interactive flashcards. There is a vertical asymptote at. Precalculus Review: Lesson 1 In this video lesson we review how to graph functions using transformation techniques by walking through countless examples of different types of functions. They are for Self-assessment and Review. Find the x-intercepts of a Rational Function g. Respiratory and Psychiatric Nursing. 342 University of Houston Department of Mathematics. Key - Rational Functions Review File. Vertical Asymptotes Horizontal Asymptote. Algebra Lesson 8. I can multiply and divide rational expressions and reduce my answer. 6 Rational Functions Page 2 of 28 11/13/2014 Simplify a rational expression - Write the fraction so there are no common factors other than 1 or -1. Students determine values for a which a function is undefined given the equation of the function. 31) 6x x - 2. This unit covered • Solving linear equations including distribution and cross multiplying rational equations • Solving Absolute Value equations • Defining quadratic equations • Solve quadratic equations by factoring, completion of squares, square roots, quadratic formula • Using the discriminant in identifying types of zeroes for a quadratic equation • Identify and solve polynomial equations • Simplify and solve rational equations • Simplify and solve Radical/rational. Chapter 6 Test Review (Alg 2) Answer Section MULTIPLE CHOICE 1. That is, if p(x)andq(x) are polynomials, then p(x) q(x) is a rational function. Rational Function Quizzes Performance Task. edgenuity unit test answers PDF may not make exciting reading, but edgenuity unit test answers is packed with. After they have discussed their thoughts, have them graph the function on their calculators. Smith, Matthew J. Algebra II Practice Test Rational Functions Unit 6 Problems: **Be sure to show all work used to obtain your answer. It is an odd-degree polynomial function. Algebra 1 FSA Review - Tips and resources to better help you prepare for the FSA by Mrs. This Math Review will familiarize you with the mathematical skills and concepts that are important for solving problems and reasoning quantitatively on the Quantitative Reasoning measure of the GRE® General Test. 2 TOP: 6-3 Problem 3 Simplifying Before Adding or Subtracting DOK: DOK 2 2. Rational Functions: The Whole Thing 1 - Cool Math has free online cool math lessons, cool math games and fun math activities. It was created for the Advanced Functions (MHF4U) course in the province of Ontario, C. Link to NEW Algebra 2 Test Items - Creates a fake test-don't worry; New SOL Test Items - ANSWERS; Home; Unit 6 - Statistics and Probability; Unit 5b- Rational Functions ; Unit 5 - Exponential and Logarithmic Functions ; Unit 4 - Radical Functions ; Quadratic Unit Documents; Math Tools; Access to Polynomial Unit documents; OLD Algebra 2 website. Clear pictures of your notes from Unit 4 with each page signed and dated in pen at the top right hand corner. In this section we will study functions that are defined by rational expressions. Chapter 5 Polynomial and Rational Functions Section summaries Section 5. Have students graph unsimplified rational expressions and then graph the simplification to see whether the two graphs are the same. 1: Simplify and rewrite expressions using properties of exponents. Graphing Simple Rational Functions - Module 8. Lesson 2 Factoring Review Note. Find the x-intercepts of a Rational Function g. Please help me graph this rational function g(x) = (-5x)/(x2-9) I'm stuck with plotting the points and sketching the graph. The domain of a rational function is all real numbers except for where the denominator is equal to zero. (Limit to radical and rational functions. 1 Real Numbers and Their Graphs 2. 5 Multiplying. Lesson 1 – Basic Skills Review. ARCC College Level Practice Exam for the Accuplacer Placement Test. As always, show ALL work and answers on a separate sheet of paper. 1 Rational Functions Practice Problems 1. The end behavior of the graph is f(x) Æ +• as x Æ +• and f(x) Æ -• as x Æ -•. 3) 4) Algebra 3 Assignment #1. 2 Multiplying & Dividing Rational Expressions; Lesson 4. The answer worksheet will show the progression of multiplying fractions. 2 Properties of Rational Functions. If a function has an inverse function, the reflection of that original function in the identity line y = x will also be a function (it will pass the vertical line test for functions). We write say ais less than band write aa. 5 Multiplying. They are for Self-assessment and Review. Write your answer in. That is, if p(x)andq(x) are polynomials, then p(x) q(x) is a rational function. Then there were the children of people who had gone to these institutions in previous generations, whose parents have money and might be named Cabot or Lowell. 📝 PRACTISE - Over 360 Theory Test revision questions, answers and explanations, licensed by DVSA (the people who set the test) 📣 ENGLISH VOICEOVER: Brand NEW English voiceover to read aloud ALL 2019 Theory Test revision questions, explanations and answers, to help users with reading difficulties or dyslexia. Lesson 1 – Basic Skills Review. We have 2x plus 10 over 5x minus 15. Write the equation of the line that passes through the points (¡2;7=11) and (18;14). Quizzes: 10/3, 10/8 Test: 10/15 9/18--Simplifying Rational Expressions. Review - Rational Functions TEST File. District programs, activities, and practices shall be free from discrimination based on race, color, ancestry, national origin, ethnic group identification, age, religion, marital or parental status, physical or mental disability, sex, sexual orientation, gender, gender identity or expression, or genetic information; the perception of one or more of such characteristics; or association with a. 6 laws of exponents. When you might need assistance with algebra and in particular with answers to algebra 1 problems or division come pay a visit to us at Mhsmath. Passes through (5, 1) and (3, –9) 5. net is truly the best site to head to!. Quick links: downloadable teaching materials for rational functions syllabus content for the Topic: SL syllabus (see syllabus section 2. Quizlet Live - Trig Graphs URL. You will not receive any credit for work/answers written on this page. Domain A rational expression was defined in Chapter 6 as a ratio of two polynomials. Quizzes: 10/3, 10/8 Test: 10/15 9/18--Simplifying Rational Expressions. Full Year Practice by Standard 2: No answer key at this time. Lesson 3 - Simplifying Rational Expressions Note. Work on Review Sheet 4. 7-7: Sign Pattern of the Derivative of a Rational Function Rational Functions Practice Test Rational Functions Answer Key Chapter 8: Radical Functions (pdf) Chapter 8 Overview: Types and Traits of Radical Functions 8-1: Zeros and Domain 8-2: The Chain Rule 8-3: Extreme Points of Radical Functions. 7 Properties of Real Numbers 66. That is, if p(x)andq(x) are polynomials, then p(x) q(x) is a rational function. Unit 1: Algebra 1 Review; Unit 2: Powers & Radicals; Unit 3: Parent Functions; Unit 4: Polynomial Functions; Unit 5: Rational Functions; Unit 6: Logarithms; Unit 7: Trigonometry; Unit 8: Prob & Stat; Algebra 2 Trig Final Exam; Algebra 1B. Exercise Set 5. Characteristic 2 1 7 x x y − − = 2 2 5 7 10 + + + = x x x x y 2 2 7 12 9 − + − = x x x y. In this chapter we study rational functions - functions which are ratios of polynomials. Be sure to review both of the quizzes and also the homework on the Rational Root Test. Find the intercepts. pdf File Size:. 3 A is a function whose rule can be written as a ratio of two polynomials. Test Review: Rational Functions. 5 - All Operations. Students who took this test also took : Hci: logarithms quiz 4: misc questions Simplify radical expressions Multiplying and dividing rational expressions Created with That Quiz — the site for test creation and grading in math and other subjects. Inductive sensor 7. CHAPTER 5 Rational Expressions, Equations, and. Rational Test RealTime for Eclipse IDE (Test case) When a tested function returns a pointer value, example: FOO_TYPE *foo(), the generated variable in the test case, used to test the function result, is always generated as pointer type (result *FOO_TYPE) even if the preference 'Instantiate variable as pointed type' is checked. 4 Polynomial and Rational Inequalities. 5) The number. • When x is less than 51, the values of exports are less than the values of imports. 1 Rational Functions Practice Problems 1. Algebra 2 - Chapter 6 Test Review Multiple Choice Identify the choice that best completes the statement or answers the question. Shed the societal and cultural narratives holding you back and let free step-by-step Precalculus textbook solutions reorient your old paradigms. 1) Test Review Solve each variation question by setting up an equation to find 'k", then answer the actual question. 5, we will produce another polynomial function. This includes school websites and teacher pages on school websites. This document has all the answer keys for these 5. Unit 2 Test part 1-Analyze & Graph a Rational Function Review: HW Quizzes blank keys Book Review and Test Answer key. (link to functions-evalution. What's On This Page This page contains sample problems on rational functions. Multiply and simplify if possible. 2, Goal 1 Zero and Negative Exponents 11. Extra Practice (blank, answers) 3. Graph Simple Rational Functions - Section 8. Which expression is another way to write 3125x4? A 3 5x4 B 4 5x3 C 3 25x4 D 4 25x3 3. Which is equivalent to 3 492? A 21 B 98 C 294 D 343 2. It is not, however, meant to be a replica of the test. Determining the zeros of the function, which may involve factoring the polynomial, and how the graph intersects the x-axis. Class Notes. net contains great information on pre-algebra calculator rational equations, algebra i and long division and other math topics. Student packet - Chapter 8 Pre Algebra. The cost of renting a lawn mower from Green Lawn is shown in the table. 1 Represent Relations and Functions 76 #3-39 odd, 43, 47 4 25 Tuesday Sep 10 2. represented by the function y = 10x + 15, where x represents the number of hours and y represents the total cost. opens upward and has vertex Matches graph (b). I can multiply and divide rational expressions and reduce my answer. Multiply and Divide Rational Expressions - Section 8. Start Rational Functional Tester. Just like rational numbers, rational function definition is given as: Definition 2: A rational function R(x) is the function in the form \( \frac{ P(x)}{Q(x)}\) where P(x) and Q(x) are polynomial functions and Q(x) is a non-zero polynomial. Students determine values for a which a function is undefined given the equation of the function. The Definition of the Asymptote. The online math tests and quizzes on positive, negative and rational exponents. Duration: 0 hrs 50 mins Review: Calculator Skills Review key calculator skills. Algebra II – Chapter 5 Test Review I can determine the number and type of rational zeros for a polynomial function. Find the x- and y-intercepts of the graph of the rational function, if they exist. c - 7 ; c ≠!−4. The line x = 2 is a vertical asymptote. PREC12 Rational Functions Name: _____ Worksheet ANSWER KEY Analyze each function and predict the location of any VERTICAL asymptotes, HORIZONTAL asymptotes, HOLES (points of discontinuity), x- and y-INTERCEPTS, DOMAIN, and RANGE. opens upward and has vertex 2, 0. 1: Solving Simple Equations: 1. Reduce ab ba 5. About This Quiz & Worksheet. Rational Functions Review (Pt. Relations and Functions 6. 57 Solving Rational Equations. Practice Tests by Teodoru Gugoiu. It is not, however, meant to be a replica of the test. All comments will be approved before they are posted. What is the value of −2. Be sure to indicate any restrictions on the domain. Vertical Asymptote:. The square and cube root functions are both power functions with fractional powers since they can be written as ( ) f x x 1 2 or ( ) f x x 1 3. This sheet represents the types of questions and concepts you will find on the test. Multiply 33 82 89 27 12 xy yx 2. 42 is 30 % of what number? 4. IN CLASS: 1. A rational function is a function which is the ratio of polynomial functions. 137 #s 9-12, 19- 31 (odd), 33, 38-40, 47, 48. AP Calculus AB Review Week 1 Limits and Continuity Advanced Placement AAP Review will be held in room 315 and 312 on Tuesdays and Thursdays. 61 Solve Radical Equations. Examine The Graph of a Rational Function and learn how to identify and locate Vertical Asymptotes in Rational Functions. Rational Functions - TEST REVIEW Read each exercise carefully. The line x = 2 is a vertical asymptote. Powered by Create your own unique website with customizable templates. Polynomial Functions Practice Test (Chapter 6) Write a polynomial function of least degree with integral coefficients that has the given zeros. Compare the functions’ rates of change. That is, if p(x)andq(x) are polynomials, then p(x) q(x) is a rational function. Section 10. View Notes - Unit 4 TEST Review - Radical & Rational Functions from MATH 1 at River Ridge High School. Use all properties of rational functions such as range, domain, x-intercepts, y-intercepts, asymptotes, horizontal shift, vertical shift, compression and stretching to answer the questions suggested. 2 Multiplying & Dividing Rational Expressions; Lesson 4. There are no zeros, a hole exists at x = -3/2, vertical asymptote is at x = 1, and horizontal asymptote is at y = 0. 5: Solving Rational Equations. Put answers in the box provided below. simplifying expressions page 614 # 5-27 and 31-55 odd 2 more 8. p n rA tl mlp XrLirgwhmtisL 8raezsieLrRvueVdY. Syllabus Remind. View the questions for NCLEX Review on OB/GYN – Antepartum. Learn algebra 2 rational functions with free interactive flashcards. Rational Functions Expressions And Equations Unit Test A Answers. (Limit to radical and rational functions. Pre-AP Algebra II - Chapter 8 Test Review o I can state the domain of a rational function and the points of discontinuity. There is a vertical asymptote at. 8A Rational Functions Lab Model Inverse Variation 8-1 Variation Functions 8-2 Multiplying and Dividing Rational Expressions 8-3 Adding and Subtracting Rational Expressions. Polynomial and Rational Functions (Ch. ANS: A PTS: 1 DIF: L3 REF: 6-4 Rational Exponents. Reduce 32 32 22 24 28 xx x xx x Multiplying and Dividing Expressions 1. 3: Multiply and Divide Rational Expressions Section 10. There is a zero at 6, a hole exists at x = -3, no vertical asymptotes, and horizontal asymptote at y = x - 6. If ever you have to have help on solving quadratic equations or maybe elimination, Emaths. Voiceover:Right over here, I have the graph of f of x, and what I want to think about in this video is whether we could have sketched this graph just by looking at the definition of our function, which is defined as a rational expression. 14) Instructions for using online Study Plan to brush up (p. sane; lucid: The patient seems rational. x-intercepts at (2,0) and (7,0) ii. Name Date Period Advanced Algebra 6. Inductive sensor 7. Answers to Questions on Rational Functions. Printable in convenient PDF format. What is the value of −2. Duration: 0 hrs 50 mins Review: Calculator Skills. Reduce 2 25 5 x x 6. 12 1-3 Properties of Numbers Exercises p. ANS: A PTS: 1 DIF: L3 REF: 6-3 Binomial Radical Expressions OBJ: 6-3. 15 4 3 6 5 1 Percent 3. Linear and Quadratic Functions Linear & Quadratic Functions Guided Notes Solutions Mountain Climber Activity Solutions. (Be sure to give all solutions) x2 – 6 = 138 A. View Notes - Unit 4 TEST Review - Radical & Rational Functions from MATH 1 at River Ridge High School. 5, we will produce another polynomial function. IB Math SL Review Videos by Topic: IB Math SL Algebra Review - Topic 1 (Sequences, Series, Logs, Binomial Expansion) IB Math SL Functions Review - Topic 2 IB Math SL Trigonometry Review - Topic 3 IB Math SL Vectors and Matrices Review - Topic 4 & 5 IB Math SL Statistics and Probability Review - Topic 6 IB Math SL Calculus Review - Topic 7 (part. Pre-Calculus: Chapter 4 Rational Functions Practice Test Short Answer 1. The purpose of this quiz and worksheet is to help you assess your knowledge regarding rational functions. Powered by Create your own unique website with customizable templates. If you need guidance on denominator or mixed numbers, Algebra-answer. 4 Worksheet by Kuta Software LLC. There is a vertical asymptote at. If you are relying upon graphing rational functions purely from plotting table values in the calculator, you will most likely not be able to complete the test or answer most of the questions correctly. Algebra-answer. 138 (21-29 odd, 43, 44, 46, 47, 65) Assignment 2-5c: Worksheet 2-5c Section 2-6 Nonlinear Inequalities. One of the simplest rational functions is the reciprocal function,. You can use the Rational Root Theorem to find all the roots of a polynomial equation (Hooray!) a) 02x3 x2 2x 1 Step 1: Find all possible rational roots Step 2: Test each of the possible roots Step 3: Use synthetic division to find the quotient Step 4: Find the roots of the quotient b) 03x3 x2 x 1. Vertical Asymptotes Horizontal Asymptote. 3 Power Functions and Polynomial Functions. Please help me graph this rational function g(x) = (-5x)/(x2-9) I'm stuck with plotting the points and sketching the graph. For each of the rational functions find: a. 90-91) Be sure to review exponential growth and decay application questions as well. Rational Functions Review (Pt. We will still have the test on Wednesday as we went over the entire last test today in class, and you have the unit review of graphing rational functions from Friday. 5 - All Operations. Pre-Calculus: Graphing a Rational Function with Holes (English) Math 1A/1B. 1 Polynomial Functions The general form of a polynomial functionis f(x) = anxn+an 1xn 1+ +a1x+a0. Really clear math lessons (pre-algebra, algebra, precalculus), cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too. 2,497 Rational Function jobs available on Indeed. Determine the missing value in this table of values for the function y 2x. 342 University of Houston Department of Mathematics. x2+49 must be a factor; it is prime (irreducible) over. Number of Hours Cost ($) 238 347 456 565 9. Write the equation of the line with slope -4 and has a y-intercept of 9. Add or subtract each rational expression. List any restrictions and check for extraneous solutions. Characteristic 2 1 7 x x y − − = 2 2 5 7 10 + + + = x x x x y 2 2 7 12 9 − + − = x x x y. The reflection over the identity line y = x is shown in red - dashed. Sign up to access the rest of the document. Inverse and Joint Variation - Section 8. Date:September 29, 2005 This website is designed to refine your algebraic, geometric, trigonometric, and reading comprehension skills necessary for learning calculus which plays a substantial role in understanding the advancement of science and engineering up to date. 1: Simplify and rewrite expressions using properties of exponents. Math Nation Boot Camp go to the math nation link and videos are there under additional resources, for review of this material. Multiplying Fractions Worksheets. Complete the assignment on p. 59 Study Guide and Review p. f x x2 3 0, 3. Selected Answers: Assignment 4 – Selected Answers. Algebra Lesson 8. (Random) Rational Functions. Type the letter of the correct expression in the box. Duration: 0 hrs 50 mins Review: Calculator Skills Review key calculator skills. Find the domain of a composite function. 59 Rational Expressions Test. Gino's Math Website Skip to content. 1: Simplify and rewrite expressions using properties of exponents. If you're seeing this message, it means we're having trouble loading external resources on our website. De nition 4. AP Calculus AB Review Week 1 Limits and Continuity Advanced Placement AAP Review will be held in room 315 and 312 on Tuesdays and Thursdays. Precalculus Review: Lesson 1 In this video lesson we review how to graph functions using transformation techniques by walking through countless examples of different types of functions. It is an odd-degree polynomial function. notebook 1 December 05, 2013. Please help me graph this rational function g(x) = (-5x)/(x2-9) I'm stuck with plotting the points and sketching the graph. Set this factor equal to zero and solve. Reduce 2 25 5 x x 6. continuity and discontinuity graph rational functions and locate zeros and horizontal and vert asymptotes UNIT COMPONENTS Graphing Rational Expressions Rational Equations Vocabulary Discontinuous Asymptotes Review Inverse Variation New Concepts Graph Rational Functions - with technology - without technology Vocabulary Review Factoring Simplify. x-values that make the denominator zero. For the exercises 1-3, determine if the function is a polynomial function and, if so, give the degree and leading coefficient. Students who took this test also took : Hci: logarithms quiz 4: misc questions Simplify radical expressions Multiplying and dividing rational expressions Created with That Quiz — the site for test creation and grading in math and other subjects. This activity is designed to help your PreCalculus students review key concepts at the end of the unit on Polynomial, Power, & Rational Functions. Duration: 0 hrs 50 mins Review: Calculator Skills. Pre-Calculus: Graphing a Rational Function with Holes (English) Math 1A/1B. The quality of your responses will be a factor in grading. f x x 2 2 3. Learn algebra 2 rational functions with free interactive flashcards. When the polynomials in the numerator and denominator of an expression share factors. Reduce ab ba 5. Chapter 5 Polynomial and Rational Functions Section summaries Section 5. All real numbers are either rational or irrational. Multiply and Divide Rational Expressions - Section 8. “Graphing Rational Functions” Worksheet #1 – Horizontal Asymptotes Find the domain, vertical asymptotes, and horizontal asymptotes for the following rational functions. • The answers for the lesson-by-lesson. Unit 8: Graphs of Trigonometric Functions; Unit 9: Intro to Limits; Pre-Calculus Final Exam; Algebra 2 Trig. Inverse and Joint Variation - Section 8. The same operational (+,-,×,÷) rules that apply rational numbers (i. This tutorial describes the solutions to a test on rational functions. Precalculus Review: Lesson 1 In this video lesson we review how to graph functions using transformation techniques by walking through countless examples of different types of functions. 461 29-36all,37-45odd 8-3C Graphing Rational Functions Key. Extra Practice (blank, answers) 3. Solve for x please. 7 Graphs of Rational Functions: Test 1 Test 2 Test 3 Test 4 Test 5 Test 6 Test 7: Test-out 1 Test-out 2 Test-out 3; Part 3 3. 4 - Real Zeros of Polynomials - 3.