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MAT 140 Exam 3: notes, quizzes, test

by: Sydney Hunt

MAT 140 Exam 3: notes, quizzes, test MAT 140

Marketplace > Murray State University > Math > MAT 140 > MAT 140 Exam 3 notes quizzes test
Sydney Hunt
GPA 3.48

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About this Document

analyzing quadratics linear regression absolute vales polynomials zeros and long division rational functions
College Algebra
Dr. Donnelly
college, Algebra
75 ?




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This 69 page Bundle was uploaded by Sydney Hunt on Tuesday May 17, 2016. The Bundle belongs to MAT 140 at Murray State University taught by Dr. Donnelly in Spring 2016. Since its upload, it has received 17 views. For similar materials see College Algebra in Math at Murray State University.


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Date Created: 05/17/16
MAT 140-01 College Algebra Test #3 April 20, 2016 NAME ▯ You must show all the steps that justify your problem solutions! Answers must be accompa- nied by supporting work. ▯ Unless otherwise indicated, use algebraic methods to solve each problem. ▯ Give exact answers; unless otherwise indicated, calculator approximations will not receive full credit. ▯ Be sure to check your work! ▯ If you need more room, use the back of one of the test sheets. Here are some formulas: More formulas on the back... Good luck! I am rooting for your success! MAT 140-01 College Algebra Test #3 April 20, 2016 NAME 2 1. Given the basic function y = x , suppose the following transformations are applied to its graph: 1st, shift the graph right 4 units; 2nd, re ect the graph across the x-axis; and 3rd, shift the graph down 3 units. What is an equation for the resulting graph? 2. The graph of y = f(x) is shown below. Graph y = ▯f(x + 2) on the axes provided. Label with (x;y)-coordinates the destination of each of the four key points from the original graph. 6y 6 (-4,3) r Q Q ▯▯r,2) (-1,1)r ▯ ▯ A A - - A x x A (5,-2) 3. Solve the following quadratic equation by any algebraic method. Give exact answers, and be sure to simplify your answers: 2 4x + 4x ▯ 15 = 0 4. Solve the following quadratic equation by using the quadratic formula or by completing the square. Give exact answers, and be sure to simplify your answers: 2 x ▯ 12x ▯ 3 = 0 5. Consider the quadratic function y = f(x) = ▯3x + 4x + 4. (a) Find the vertex of the parabolic graph. (Give exact, simpli▯ed values for the x-coordinate and for the y-coordinate of the vertex.) (b) Identify the range of this quadratic function in interval notation. (An answer by itself is su▯cient here, but I can’t give partial credit for incorrect answers unless you give a justi▯cation.) p 6. Solve the following radical equation: 3x + 10 = x ▯ 6. 7. Solve the following inequality, and express your answer in interval form: j7x ▯ 15j > 1: 3 2 8. Suppose P(x) = 4x ▯10x ▯x+7 and d(x) = x▯3. Use polynomial long division to ▯nd the quotient Q(x) and remainder R(x) when we divide P(x) by d(x). Then write 4x ▯ 10x ▯ x + 7 R(x) your answer in the form = Q(x) + . x ▯ 3 x ▯ 3 2x + 10x 9. Consider the rational function y = f(x) = 3 2 . x + 2x ▯ 15x (a) Find the domain of this function. You do not have to write this in interval notation. (b) YES or NO: Does this function have any y-intercepts? If YES, say what the y-intercept(s) are. If NO, give a mathematical reason why not. (c) YES or NO: Does this function have any x-intercepts? If YES, say what the x-intercept(s) are. If NO, give a mathematical reason why not. 2x + 10x 10. Consider the rational function y = f(x) = 3 2 , which is the same as the x + 2x ▯ 15x previous problem. (a) Write this rational function in reduced form. (You may use work from the previous problem.) (b) Using part (a) of this problem, determine the equation for any vertical asymptotes. (c) Write down the equation for the horizontal asymptote, and give a reason for your answer.


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