x²-3x-28 4. Analyze and create a sketch for the graph of the rational function h(x)= x²-8x+7 Follow the steps - show all work. a. For what values of x is the denominator equal to 0? Describe the function's behavior for each value. b. For what values of x is the numerator equal to 0? What does this tell you about the function's graph? c. Identify the asymptotes for the graph of h (horizontal and vertical). Use arrow notation to describe the behavior of the graph near the asymptotes. d. What are the domain and range for the graph of h? e. Create a rough sketch of the graph of y=h(x).

x²-3x-28 4. Analyze and create a sketch for the graph of the rational function h(x)= x²-8x+7 Follow the steps - show all work. a. For what values of x is the denominator equal to 0? Describe the function's behavior for each value. b. For what values of x is the numerator equal to 0? What does this tell you about the function's graph? c. Identify the asymptotes for the graph of h (horizontal and vertical). Use arrow notation to describe the behavior of the graph near the asymptotes. d. What are the domain and range for the graph of h? e. Create a rough sketch of the graph of y=h(x).

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter5: Polynomial And Rational Functions

Section5.6: Rational Functions

Problem 87SE: For the following exercises, construct a rational function that will help solve the problem. Then,...

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