MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C) x 8. C) y = x + 3 2
|
|
- Randall Richards
- 5 years ago
- Views:
Transcription
1 Precalculus Fall Final Exam Review Name Date Period MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Simplify the expression. Assume that the variables in the denominator are nonzero. 8ab b ) ab a3b7 A) ab B) ab C) 3a b D) a b ) ) x-y - yx-4-3 ) A) y x4 B) x 4 y C) x 8 y D) y x8 Perform the indicated operation. Write the result in standard form. 3) ( + 7i) 3) A) i B) i C) 3-49i D) i Determine the equation of the line described. Put answer in the slope-intercept form, if possible. 4) Through (-, -), perpendicular to x + y = -3 4) A) y = x + B) y = x - 3 C) y = - x + 3 D) y = - x - 3 Describe how to transform the graph of f into the graph of g. ) f(x) = x and g(x) = 0.x ) A) Horizontally shrink the graph of f by a factor of 0. B) Vertically stretch the graph of f by a factor of 0. C) Vertically shrink the graph of f by a factor of 0. D) Horizontally stretch the graph of f by a factor of 0. Find the remainder when f(x) is divided by (x - k) ) f(x) = x3-8x - 3x + 3; k = - ) A) -3 B) 9 C) 0 D) -9 Describe the end behavior of the polynomial function by finding lim f x and lim f x. 7) f x = -x3 + x + 7x - 7 7) A), B), C), D), Find the asymptote(s) of the given function. 8) f(x) = x - 3 vertical asymptotes(s) 8) x + 8x A) x = -8 B) x = 8 C) x = 0, x = -8 D) x = 3
2 9) h(x) = 0x horizontal asymptotes(s) 9) x - 3 A) y = 3 B) None C) y = D) y = 3 Solve the problem. 0) The number of students infected with the flu on a college campus after t days is modeled by the 00 function P(t) =. What is the maximum number of infected students possible? + 39e-0.3t A) B) 400 C) 00 D) 00 ) Suppose the amount of a radioactive element remaining in a sample of 00 milligrams after x years can be described by A(x) = 00e-0.03x. How much is remaining after 380 years? Round the answer to the nearest hundredth of a milligram. A),9.74 milligrams B) 0. milligrams C) 0.3 milligrams D) 0.0 milligrams 0) ) For the given function, find all asymptotes of the type indicated (if there are any) ) f(x) = x - 3x +, slant ) x + 8 A) y = x - B) x = y + 3 C) y = x + D) None Find a slope-intercept form equation for the line. 3) Through the points (, ) and (-, 9) 3) A) y = - x + 7 B) y = - 4x + 7 C) y = - x + 7 D) y = - x - 7 Find a cubic function with the given zeros. 4), -, -4 4) A) f x = x3-4x - x - 8 B) f x = x3 + 4x + x - 8 C) f x = x3 + 4x - x - 8 D) f x = x3 + 4x - x + 8 Use limits to describe the behavior of the rational function near the indicated asymptote. 8 ) f(x) = - x + Describe the behavior of the function near its vertical asymptote. A) lim f(x) =, x - lim f(x) = - B) lim f(x) =, x + x -- lim C) lim f(x) = 0, x -- lim f(x) = 0 D) lim f(x) =, x -+ x -- lim f(x) = x -+ f(x) = - x -+ )
3 Perform the requested operation or operations. ) f(x) = x + 8; g(x) = x - 7 Find f(g(x)). ) A) f(g(x)) = x + B) f(g(x)) = x + C) f(g(x)) = (x + 8)( x - 7) D) f(g(x)) = x - 7 x + 8 Find the exponential function that satisfies the given conditions. 7) Initial mass = g, decreasing at a rate of 3.9% per day 7) A) m(t) = t B) m(t) = 0.9t C) m(t) =.39t D) m(t) =.039t 8) Initial mass = 44 g, halving once every hours 8) t/ A) m(t) = 44 B) m(t) = 44 t t C) m(t) = 44 t/ D) m(t) = 44 Solve the inequality. x + 0 9) - 9) A) x - B) x - C) x - D) x - Find the zeros of the function. 0) f x = 7x3-8x - 3x 0) A) and - B) 0, -, and C) - and D) 0,, and - Solve the inequality graphically. ) 8- x < 9- x ) A) x < B) x < 0 C) x > 0 D) x > Decide whether the function is an exponential growth or exponential decay function and find the constant percentage rate of growth or decay. ) f(x) = x ) A) Exponential decay function; 0.039% B) Exponential growth function; 0.039% C) Exponential growth function; 03.9% D) Exponential growth function; 3.9% Divide f(x) by d(x), and write a summary statement in the form indicated. 3) f x = x - x + ; d x = x - 3 (Write answer in polynomial form) 3) A) f x = x - 3 x B) f x = x - 3 x C) f x = x D) f x = x
4 Determine algebraically whether the function is even, odd, or neither even nor odd. 4) f(x) = x + x 4) A) Neither B) Odd C) Even Use the Factor Theorem to determine whether the first polynomial is a factor of the second polynomial. ) x + 4; 8x4 + 33x3-4x + x + 4 ) A) No B) Yes State whether the function is an exponential growth function or exponential decay function, and describe its end behavior using limits. ) f(x) = - x ) A) Exponential growth function; lim f(x) = 0; x - B) Exponential decay function; lim f(x) = ; x - C) Exponential growth function; lim f(x) = ; x - lim D) Exponential decay function; lim f(x) = 0; x - lim lim f(x) = lim f(x) = 0 f(x) = 0 f(x) = Using the given zero, find all other zeros of f(x). 7) i is a zero of f(x) = x4-8x3 + 4x - 8x + 3 7) A) -i, 4 + 3, 4-3 B) -i, + 3, - 3 C) -i, , -4-3 D) -i, 4 + 3, 4-3 Solve the equation. 8) -3x - 7x - = 0 8) A) - 7 ± 3 i B) 7 ± 3 C) - 7 ± 3 D) 7 ± 3 i 9) 3( - 3x) = 7 9) A) -3 B) 3 C) 9 D) 9 Find the domain of the given function. x ) f(x) = (x + )(x - 7) A) (-, -4) (-4 -) (-, 7) (7, ) B) All real numbers C) [-4, -) (-, 7) (7, ) D) (0, ) 30) 4
5 Find the zeros of the polynomial function and state the multiplicity of each. 3) f(x) = -x(x - )(x + )3 3) A) -, multiplicity 3; 0, multiplicity ;, multiplicity B) -, multiplicity 3; 0, multiplicity ;, multiplicity ;, multiplicity C) -, multiplicity 3;, multiplicity D) -, multiplicity ;, multiplicity ;, multiplicity Solve the quadratic inequality by graphing an appropriate quadratic function. 3) x - 0x + 0 3) A) [7, ) B) [3, 7] C) (-, 3] [7, ) D) (-, 3] Write the expression in standard form. 33) + 3i + 7i A) i B) i C) i D) i 33)
Semester 1 Exam Review - Precalculus Test ID:
203-4 Semester Exam Review - Precalculus Test ID: Use interval notation to describe the interval of real numbers. ) x is greater than or equal to 0 and less than or equal to 4. ) A) [0, 4) B) (0, 4] C)
More information. State whether the triangle is an isosceles triangle, a right triangle, neither of these, or both.
PRECALCULUS MIDTERM PRACTICE TEST (2008-2009) Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the distance d(, ) between the points and.
More informationPreCalculus: Semester 1 Final Exam Review
Name: Class: Date: ID: A PreCalculus: Semester 1 Final Exam Review Short Answer 1. Determine whether the relation represents a function. If it is a function, state the domain and range. 9. Find the domain
More informationPre-Calculus Final Exam Review Units 1-3
Pre-Calculus Final Exam Review Units 1-3 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the value for the function. Find f(x - 1) when f(x) = 3x
More informationCollege Algebra and College Algebra with Review Final Review
The final exam comprises 30 questions. Each of the 20 multiple choice questions is worth 3 points and each of the 10 open-ended questions is worth 4 points. Instructions for the Actual Final Exam: Work
More information3. Solve the following inequalities and express your answer in interval notation.
Youngstown State University College Algebra Final Exam Review (Math 50). Find all Real solutions for the following: a) x 2 + 5x = 6 b) 9 x2 x 8 = 0 c) (x 2) 2 = 6 d) 4x = 8 x 2 e) x 2 + 4x = 5 f) 36x 3
More informationPart I: Multiple Choice Questions
Name: Part I: Multiple Choice Questions. What is the slope of the line y=3 A) 0 B) -3 ) C) 3 D) Undefined. What is the slope of the line perpendicular to the line x + 4y = 3 A) -/ B) / ) C) - D) 3. Find
More informationTo get horizontal and slant asymptotes algebraically we need to know about end behaviour for rational functions.
Concepts: Horizontal Asymptotes, Vertical Asymptotes, Slant (Oblique) Asymptotes, Transforming Reciprocal Function, Sketching Rational Functions, Solving Inequalities using Sign Charts. Rational Function
More informationFinal Exam C Name i D) 2. Solve the equation by factoring. 4) x2 = x + 72 A) {1, 72} B) {-8, 9} C) {-8, -9} D) {8, 9} 9 ± i
Final Exam C Name First, write the value(s) that make the denominator(s) zero. Then solve the equation. 7 ) x + + 3 x - = 6 (x + )(x - ) ) A) No restrictions; {} B) x -, ; C) x -; {} D) x -, ; {2} Add
More information11 /2 12 /2 13 /6 14 /14 15 /8 16 /8 17 /25 18 /2 19 /4 20 /8
MAC 1147 Exam #1a Answer Key Name: Answer Key ID# Summer 2012 HONOR CODE: On my honor, I have neither given nor received any aid on this examination. Signature: Instructions: Do all scratch work on the
More informationINSTRUCTIONS USEFUL FORMULAS
MATH 1100 College Algebra Spring 18 Exam 1 February 15, 2018 Name Student ID Instructor Class time INSTRUCTIONS 1. Do not open until you are told to do so. 2. Do not ask questions during the exam. 3. CAREFULLY
More informationCHAPTER 4: Polynomial and Rational Functions
MAT 171 Precalculus Algebra Dr. Claude Moore Cape Fear Community College CHAPTER 4: Polynomial and Rational Functions 4.1 Polynomial Functions and Models 4.2 Graphing Polynomial Functions 4.3 Polynomial
More informationIntroduction. A rational function is a quotient of polynomial functions. It can be written in the form
RATIONAL FUNCTIONS Introduction A rational function is a quotient of polynomial functions. It can be written in the form where N(x) and D(x) are polynomials and D(x) is not the zero polynomial. 2 In general,
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Calculus I - Homework Chapter 2 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine whether the graph is the graph of a function. 1) 1)
More informationName: Class: Date: A. 70 B. 62 C. 38 D. 46
Class: Date: Test 2 REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Divide: (4x 2 49y 2 ) (2x 7y) A. 2x 7y B. 2x 7y C. 2x 7y D. 2x 7y 2. What is
More information1. Use the properties of exponents to simplify the following expression, writing your answer with only positive exponents.
Math120 - Precalculus. Final Review. Fall, 2011 Prepared by Dr. P. Babaali 1 Algebra 1. Use the properties of exponents to simplify the following expression, writing your answer with only positive exponents.
More informationCHAPTER 4: Polynomial and Rational Functions
MAT 171 Precalculus Algebra Dr. Claude Moore Cape Fear Community College CHAPTER 4: Polynomial and Rational Functions 4.1 Polynomial Functions and Models 4.2 Graphing Polynomial Functions 4.3 Polynomial
More informationChapter 1- Polynomial Functions
Chapter 1- Polynomial Functions WORKBOOK MHF4U W1 1.1 Power Functions MHF4U Jensen 1) Identify which of the following are polynomial functions: a) p x = cos x b) h x = 7x c) f x = 2x, d) y = 3x / 2x 0
More informationPreCalc Honors Summer Preparation
PreCalc Honors Summer Preparation Please follow the below instructions to join BOTH Algebra 2 and PreCalc to use as resources while completing the summer work. Chapter 1 1. Determine whether each relation
More informationAlgebra II CP Final Exam Review Packet. Calculator Questions
Name: Algebra II CP Final Exam Review Packet Calculator Questions 1. Solve the equation. Check for extraneous solutions. (Sec. 1.6) 2 8 37 2. Graph the inequality 31. (Sec. 2.8) 3. If y varies directly
More informationFinal Exam A Name. 20 i C) Solve the equation by factoring. 4) x2 = x + 30 A) {-5, 6} B) {5, 6} C) {1, 30} D) {-5, -6} -9 ± i 3 14
Final Exam A Name First, write the value(s) that make the denominator(s) zero. Then solve the equation. 1 1) x + 3 + 5 x - 3 = 30 (x + 3)(x - 3) 1) A) x -3, 3; B) x -3, 3; {4} C) No restrictions; {3} D)
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. B) 6x + 4
Math1420 Review Comprehesive Final Assessment Test Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Add or subtract as indicated. x + 5 1) x2
More informationPreCalculus Notes. MAT 129 Chapter 5: Polynomial and Rational Functions. David J. Gisch. Department of Mathematics Des Moines Area Community College
PreCalculus Notes MAT 129 Chapter 5: Polynomial and Rational Functions David J. Gisch Department of Mathematics Des Moines Area Community College September 2, 2011 1 Chapter 5 Section 5.1: Polynomial Functions
More informationUMUC MATH-107 Final Exam Information
UMUC MATH-07 Final Exam Information What should you know for the final exam? Here are some highlights of textbook material you should study in preparation for the final exam. Review this material from
More informationCOURSE SYLLABUS Part I Course Title: MATH College Algebra Credit Hours: 4, (4 Lecture 0 Lab G) OTM-TMM001
COURSE SYLLABUS Part I Course Title: MATH 1340 - College Algebra Credit Hours: 4, (4 Lecture 0 Lab G) OTM-TMM001 Course Description: College Algebra in conjunction with MATH 1350, Pre-Calculus, provides
More information. As x gets really large, the last terms drops off and f(x) ½x
Pre-AP Algebra 2 Unit 8 -Lesson 3 End behavior of rational functions Objectives: Students will be able to: Determine end behavior by dividing and seeing what terms drop out as x Know that there will be
More information1. OBJECTIVE: Linear Equations
CUNY YORK COLLEGE FINAL EXAM REVIEW MATH 120: Precalculus Use the following questions to review for your final examimation for Math 120. Your ability to answer these questions will reflect what you learned
More informationMAC College Algebra
MAC 05 - College Algebra Name Review for Test 2 - Chapter 2 Date MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the exact distance between the
More informationSemester Review Packet
MATH 110: College Algebra Instructor: Reyes Semester Review Packet Remarks: This semester we have made a very detailed study of four classes of functions: Polynomial functions Linear Quadratic Higher degree
More informationPrecalculus. How to do with no calculator 1a)
Precalculus UNIT 2 Review NAME PERIOD This assessment covers many concepts which you must be able to understand without the use of your calculator to view the graph. Please complete the following table
More informationPolynomial Functions
Polynomial Functions Equations and Graphs Characteristics The Factor Theorem The Remainder Theorem http://www.purplemath.com/modules/polyends5.htm 1 A cross-section of a honeycomb has a pattern with one
More informationEXAM 1 Review. 1. Find the distance between the points (2, 6) and ( 5, 2). Give the exact solution and an approximation to the nearest hundredth.
EXAM 1 Review 1. Find the distance between the points (2, 6) and ( 5, 2). Give the exact solution and an approximation to the nearest hundredth. 2. Find the midpoint of the line segment with end points
More informationevaluate functions, expressed in function notation, given one or more elements in their domains
Describing Linear Functions A.3 Linear functions, equations, and inequalities. The student writes and represents linear functions in multiple ways, with and without technology. The student demonstrates
More informationSection Properties of Rational Expressions
88 Section. - Properties of Rational Expressions Recall that a rational number is any number that can be written as the ratio of two integers where the integer in the denominator cannot be. Rational Numbers:
More informationIntermediate Algebra Final Exam Review
Intermediate Algebra Final Exam Review Note to students: The final exam for MAT10, MAT 11 and MAT1 will consist of 30 multiple-choice questions and a few open-ended questions. The exam itself will cover
More informationA Partial List of Topics: Math Spring 2009
A Partial List of Topics: Math 112 - Spring 2009 This is a partial compilation of a majority of the topics covered this semester and may not include everything which might appear on the exam. The purpose
More informationMAT 107 College Algebra Fall 2013 Name. Final Exam, Version X
MAT 107 College Algebra Fall 013 Name Final Exam, Version X EKU ID Instructor Part 1: No calculators are allowed on this section. Show all work on your paper. Circle your answer. Each question is worth
More informationUse a graphing utility to approximate the real solutions, if any, of the equation rounded to two decimal places. 4) x3-6x + 3 = 0 (-5,5) 4)
Advanced College Prep Pre-Calculus Midyear Exam Review Name Date Per List the intercepts for the graph of the equation. 1) x2 + y - 81 = 0 1) Graph the equation by plotting points. 2) y = -x2 + 9 2) List
More information2.6. Graphs of Rational Functions. Copyright 2011 Pearson, Inc.
2.6 Graphs of Rational Functions Copyright 2011 Pearson, Inc. Rational Functions What you ll learn about Transformations of the Reciprocal Function Limits and Asymptotes Analyzing Graphs of Rational Functions
More information3.1 Symmetry & Coordinate Graphs
3.1 Symmetry & Coordinate Graphs I. Symmetry Point symmetry two distinct points P and P are symmetric with respect to point M if and only is M is the midpoint of PP' When the definition is extended to
More informationStudent: Date: Instructor: kumnit nong Course: MATH 105 by Nong https://xlitemprodpearsoncmgcom/api/v1/print/math Assignment: CH test review 1 Find the transformation form of the quadratic function graphed
More informationMath 137 Exam #3 Review Guide
Math 7 Exam # Review Guide The third exam will cover Sections.-.6, 4.-4.7. The problems on this review guide are representative of the type of problems worked on homework and during class time. Do not
More informationFinal Exam Review. Determine whether the relation represents a function. If it is a function, state the domain and range.
Final Exam Review Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. 1) f(x) = x2-5 1) A) minimum; 0 B) minimum; -5 C) maximum;
More informationMAT116 Final Review Session Chapter 3: Polynomial and Rational Functions
MAT116 Final Review Session Chapter 3: Polynomial and Rational Functions Quadratic Function A quadratic function is defined by a quadratic or second-degree polynomial. Standard Form f x = ax 2 + bx + c,
More informationAP Calculus Summer Homework MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
AP Calculus Summer Homework 2015-2016 Part 2 Name Score MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the distance d(p1, P2) between the points
More informationPolynomial Functions and Models
1 CA-Fall 2011-Jordan College Algebra, 4 th edition, Beecher/Penna/Bittinger, Pearson/Addison Wesley, 2012 Chapter 4: Polynomial Functions and Rational Functions Section 4.1 Polynomial Functions and Models
More informationPrinceton High School
Princeton High School Mathematics Department PreCalculus Summer Assignment Summer assignment vision and purpose: The Mathematics Department of Princeton Public Schools looks to build both confidence and
More informationAlgebra I Assessment. Eligible Texas Essential Knowledge and Skills
Algebra I Assessment Eligible Texas Essential Knowledge and Skills STAAR Algebra I Assessment Reporting Category 1: Functional Relationships The student will describe functional relationships in a variety
More informationSubtract 6 to both sides Divide by 2 on both sides. Cross Multiply. Answer: x = -9
Subtract 6 to both sides Divide by 2 on both sides Answer: x = -9 Cross Multiply. = 3 Distribute 2 to parenthesis Combine like terms Subtract 4x to both sides Subtract 10 from both sides x = -20 Subtract
More information1. Use the properties of exponents to simplify the following expression, writing your answer with only positive exponents.
Math120 - Precalculus. Final Review Prepared by Dr. P. Babaali 1 Algebra 1. Use the properties of exponents to simplify the following expression, writing your answer with only positive exponents. (a) 5
More informationMock Final Exam Name. Solve and check the linear equation. 1) (-8x + 8) + 1 = -7(x + 3) A) {- 30} B) {- 6} C) {30} D) {- 28}
Mock Final Exam Name Solve and check the linear equation. 1) (-8x + 8) + 1 = -7(x + 3) 1) A) {- 30} B) {- 6} C) {30} D) {- 28} First, write the value(s) that make the denominator(s) zero. Then solve the
More information1) The line has a slope of ) The line passes through (2, 11) and. 6) r(x) = x + 4. From memory match each equation with its graph.
Review Test 2 Math 1314 Name Write an equation of the line satisfying the given conditions. Write the answer in standard form. 1) The line has a slope of - 2 7 and contains the point (3, 1). Use the point-slope
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C) ±
Final Review for Pre Calculus 009 Semester Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation algebraically. ) v + 5 = 7 - v
More informationRational and Radical Functions. College Algebra
Rational and Radical Functions College Algebra Rational Function A rational function is a function that can be written as the quotient of two polynomial functions P(x) and Q(x) f x = P(x) Q(x) = a )x )
More informationPractice Test - Chapter 2
Graph and analyze each function. Describe the domain, range, intercepts, end behavior, continuity, and where the function is increasing or decreasing. 1. f (x) = 0.25x 3 Evaluate the function for several
More informationHMH Fuse Algebra correlated to the. Texas Essential Knowledge and Skills for Mathematics High School Algebra 1
HMH Fuse Algebra 1 2012 correlated to the Texas Essential Knowledge and Skills for Mathematics High School Algebra 1 111.32. Algebra I (b) Knowledge and skills. (1) Foundations for functions. The student
More informationAlgebra 32 Midterm Review Packet
Algebra 2 Midterm Review Packet Formula you will receive on the Midterm: x = b ± b2 4ac 2a Name: Teacher: Day/Period: Date of Midterm: 1 Functions: Vocabulary: o Domain (Input) & Range (Output) o Increasing
More informationIdentify the graph of a function, and obtain information from or about the graph of a function.
PS 1 Graphs: Graph equations using rectangular coordinates and graphing utilities, find intercepts, discuss symmetry, graph key equations, solve equations using a graphing utility, work with lines and
More informationMTH30 Review Sheet. y = g(x) BRONX COMMUNITY COLLEGE of the City University of New York DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE
BRONX COMMUNITY COLLEGE of the City University of New York DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE MTH0 Review Sheet. Given the functions f and g described by the graphs below: y = f(x) y = g(x) (a)
More informationM30-1: Polynomial, Radical and Rational Functions, Graphs and Equations Exam /20
Class: Date: ID: A M30-1: Polynomial, Radical and Rational Functions, Graphs and Equations Exam /20 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which
More informationALGEBRA 2 FINAL EXAM REVIEW
Class: Date: ALGEBRA 2 FINAL EXAM REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question.. Classify 6x 5 + x + x 2 + by degree. quintic c. quartic cubic d.
More informationCumulative Review. Name. 13) 2x = -4 13) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Cumulative Review Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Evaluate the algebraic expression for the given value or values of the variable(s).
More informationSection 5.1 Determine if a function is a polynomial function. State the degree of a polynomial function.
Test Instructions Objectives Section 5.1 Section 5.1 Determine if a function is a polynomial function. State the degree of a polynomial function. Form a polynomial whose zeros and degree are given. Graph
More informationd. What are the steps for finding the y intercepts algebraically?(hint: what is equal to 0?)
st Semester Pre Calculus Exam Review You will not receive hints on your exam. Make certain you know how to answer each of the following questions. This is a test grade. Your WORK and EXPLANATIONS are graded
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Decide if the function is an exponential function. If it is, state the initial value and
More informationMATH 1314 College Algebra Scott Travis Fall 2014 Review for Exam #2
MATH 1314 College Algebra Scott Travis Fall 2014 Review for Exam #2 There are eight sections from Chapters 4 and 5 included in the exam: 4.1, 4.3, 5.1 to 5.6. This review should help you prepare. For each
More informationAP Calculus Summer Prep
AP Calculus Summer Prep Topics from Algebra and Pre-Calculus (Solutions are on the Answer Key on the Last Pages) The purpose of this packet is to give you a review of basic skills. You are asked to have
More informationReview for Cumulative Test 2
Review for Cumulative Test We will have our second course-wide cumulative test on Tuesday February 9 th or Wednesday February 10 th, covering from the beginning of the course up to section 4.3 in our textbook.
More informationPMI Unit 2 Working With Functions
Vertical Shifts Class Work 1. a) 2. a) 3. i) y = x 2 ii) Move down 2 6. i) y = x ii) Move down 1 4. i) y = 1 x ii) Move up 3 7. i) y = e x ii) Move down 4 5. i) y = x ii) Move up 1 Vertical Shifts Homework
More informationRational Functions. Elementary Functions. Algebra with mixed fractions. Algebra with mixed fractions
Rational Functions A rational function f (x) is a function which is the ratio of two polynomials, that is, Part 2, Polynomials Lecture 26a, Rational Functions f (x) = where and are polynomials Dr Ken W
More information3. Use absolute value notation to write an inequality that represents the statement: x is within 3 units of 2 on the real line.
PreCalculus Review Review Questions 1 The following transformations are applied in the given order) to the graph of y = x I Vertical Stretch by a factor of II Horizontal shift to the right by units III
More informationMATH 0960 ELEMENTARY ALGEBRA FOR COLLEGE STUDENTS (8 TH EDITION) BY ANGEL & RUNDE Course Outline
MATH 0960 ELEMENTARY ALGEBRA FOR COLLEGE STUDENTS (8 TH EDITION) BY ANGEL & RUNDE Course Outline 1. Real Numbers (33 topics) 1.3 Fractions (pg. 27: 1-75 odd) A. Simplify fractions. B. Change mixed numbers
More information( ) = 1 x. g( x) = x3 +2
Rational Functions are ratios (quotients) of polynomials, written in the form f x N ( x ) and D x ( ) are polynomials, and D x ( ) does not equal zero. The parent function for rational functions is f x
More informationTest 2 Review Math 1111 College Algebra
Test 2 Review Math 1111 College Algebra 1. Begin by graphing the standard quadratic function f(x) = x 2. Then use transformations of this graph to graph the given function. g(x) = x 2 + 2 *a. b. c. d.
More informationMAT 111 Final Exam A Fall 2015 Name:
MAT 111 Final Exam A Fall 2015 Name: Show all work on test to receive credit. Draw a box around your answer. If solving algebraically, show all steps. If solving graphically, sketch a graph and label the
More informationBasic Fraction and Integer Operations (No calculators please!)
P1 Summer Math Review Packet For Students entering Geometry The problems in this packet are designed to help you review topics from previous mathematics courses that are important to your success in Geometry.
More informationThe Graph of a Quadratic Function. Quadratic Functions & Models. The Graph of a Quadratic Function. The Graph of a Quadratic Function
8/1/015 The Graph of a Quadratic Function Quadratic Functions & Models Precalculus.1 The Graph of a Quadratic Function The Graph of a Quadratic Function All parabolas are symmetric with respect to a line
More information1.) Suppose the graph of f(x) looks like this (each tick mark denotes 1 unit). x y
College Algebra Summer 2014 Exam File Exam #1 1.) Suppose the graph of f(x) looks like this (each tick mark denotes 1 unit). Graph g(x) = -0.5 f(x + 1) - 3 2.) Consider the following table of values. x
More informationHorizontal and Vertical Asymptotes from section 2.6
Horizontal and Vertical Asymptotes from section 2.6 Definition: In either of the cases f(x) = L or f(x) = L we say that the x x horizontal line y = L is a horizontal asymptote of the function f. Note:
More informationPolynomial Degree Leading Coefficient. Sign of Leading Coefficient
Chapter 1 PRE-TEST REVIEW Polynomial Functions MHF4U Jensen Section 1: 1.1 Power Functions 1) State the degree and the leading coefficient of each polynomial Polynomial Degree Leading Coefficient y = 2x
More informationChapter 2. Polynomial and Rational Functions. 2.6 Rational Functions and Their Graphs. Copyright 2014, 2010, 2007 Pearson Education, Inc.
Chapter Polynomial and Rational Functions.6 Rational Functions and Their Graphs Copyright 014, 010, 007 Pearson Education, Inc. 1 Objectives: Find the domains of rational functions. Use arrow notation.
More informationFinal Exam Review Problems
Final Exam Review Problems Name: Date: June 23, 2013 P 1.4. 33. Determine whether the line x = 4 represens y as a function of x. P 1.5. 37. Graph f(x) = 3x 1 x 6. Find the x and y-intercepts and asymptotes
More informationSpring /02/2011. MA 109 College Algebra EXAM 4
MA 109 College Algebra EXAM 4 Spring 2011 05/02/2011 Name: Sec.: Do not remove this answer page you will turn in the entire exam. You have two hours to do this exam. No books or notes may be used. You
More informationc) i) f(x) 3[2(x 4)] 6
Answers CHAPTER 1 Prerequisite Skills, pages 1. a) 7 5 11 d) 5 e) 8x 7 f) 1x 7. a) 1 10 6 d) 0 e) 4x 18x f) 18x 9x 1. a) m, b m _ 1, b _ m 5, b 7 d) m 5, b 11 e) m _ 1, b 1 4. a) y x 5 y 4x 4 y 4x 1 d)
More informationAssessment Exemplars: Polynomials, Radical and Rational Functions & Equations
Class: Date: Assessment Exemplars: Polynomials, Radical and Rational Functions & Equations 1 Express the following polynomial function in factored form: P( x) = 10x 3 + x 2 52x + 20 2 SE: Express the following
More informationChapter 3: Inequalities, Lines and Circles, Introduction to Functions
QUIZ AND TEST INFORMATION: The material in this chapter is on Quiz 3 and Exam 2. You should complete at least one attempt of Quiz 3 before taking Exam 2. This material is also on the final exam and used
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine algebraically whether the function is even, odd, or neither even nor odd. ) f(x)
More informationMath 0031, Final Exam Study Guide December 7, 2015
Math 0031, Final Exam Study Guide December 7, 2015 Chapter 1. Equations of a line: (a) Standard Form: A y + B x = C. (b) Point-slope Form: y y 0 = m (x x 0 ), where m is the slope and (x 0, y 0 ) is a
More information1) Solve the formula for the indicated variable. P = 2L + 2W for W. 2) Solve the formula for the variable y. 5 = 7x - 8y
Math120 Cumulative Review This is to help prepare you for the 40 question final exam. It is not all inclusive of the material covered in your course. Therefore items not on this review may appear on the
More informationMaintaining Mathematical Proficiency
Chapter Maintaining Mathematical Proficiency Simplify the expression. 1. 8x 9x 2. 25r 5 7r r + 3. 3 ( 3x 5) + + x. 3y ( 2y 5) + 11 5. 3( h 7) 7( 10 h) 2 2 +. 5 8x + 5x + 8x Find the volume or surface area
More informationCalculus I Sample Exam #01
Calculus I Sample Exam #01 1. Sketch the graph of the function and define the domain and range. 1 a) f( x) 3 b) g( x) x 1 x c) hx ( ) x x 1 5x6 d) jx ( ) x x x 3 6 . Evaluate the following. a) 5 sin 6
More informationWhen using interval notation use instead of open circles, and use instead of solid dots.
P.1 Real Numbers PreCalculus P.1 REAL NUMBERS Learning Targets for P1 1. Describe an interval on the number line using inequalities. Describe an interval on the number line using interval notation (closed
More informationLinear Equations. Find the domain and the range of the following set. {(4,5), (7,8), (-1,3), (3,3), (2,-3)}
Linear Equations Domain and Range Domain refers to the set of possible values of the x-component of a point in the form (x,y). Range refers to the set of possible values of the y-component of a point in
More informationMath 1101 Test 2 Practice Problems
Math 1101 Test 2 Practice Problems These problems are not intended to cover all possible test topics. These problems should serve as on activity in preparing for your test, but other study is required
More informationFundamental Theorem of Algebra (NEW): A polynomial function of degree n > 0 has n complex zeros. Some of these zeros may be repeated.
.5 and.6 Comple Numbers, Comple Zeros and the Fundamental Theorem of Algebra Pre Calculus.5 COMPLEX NUMBERS 1. Understand that - 1 is an imaginary number denoted by the letter i.. Evaluate the square root
More information1) Find the equations of lines (in point-slope form) passing through (-1,4) having the given characteristics:
AP Calculus AB Summer Worksheet Name 10 This worksheet is due at the beginning of class on the first day of school. It will be graded on accuracy. You must show all work to earn credit. You may work together
More informationCA-A1-B Interpret the dependent and independent variables in the context of functions.
STEM Units of Study The STEM course features four units of instruction and a capstone project. This document clearly articulates a list of the key performance indicators that are included in the units.
More informationAnswers. 2. List all theoretically possible rational roots of the polynomial: P(x) = 2x + 3x + 10x + 14x ) = A( x 4 + 3x 2 4)
CHAPTER 5 QUIZ Tuesday, April 1, 008 Answers 5 4 1. P(x) = x + x + 10x + 14x 5 a. The degree of polynomial P is 5 and P must have 5 zeros (roots). b. The y-intercept of the graph of P is (0, 5). The number
More informationDescribe in words how the graph of each function below would differ from the graph of f (x).
MATH 111 Exam # Review (4.1-4.4, 6.1, 6.) Describe in words how the graph of each function below would differ from the graph of f (. 1. f ( x 7). f (. f ( 5 4. f ( 5. 7 f ( 6. f ( x ) 9 7. f ( 8. f ( 9.
More informationPre-Calculus: Functions and Their Properties (Solving equations algebraically and graphically, matching graphs, tables, and equations, and
Pre-Calculus: 1.1 1.2 Functions and Their Properties (Solving equations algebraically and graphically, matching graphs, tables, and equations, and finding the domain, range, VA, HA, etc.). Name: Date:
More information