Unit 3, Lesson 3

Graphs of Rational Functions (Part 2)

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Integrated Math 3

Practice

Problem 1

Rewrite the rational function in the form , where and are constants.

Problem 2

The average cost (in dollars) per mile for riding miles in a rideshare vehicle is . As gets larger and larger, what does the end behavior of the function tell you about the situation?

Problem 3

The graphs of two rational functions and are shown. One of them is given by the expression . Which graph is it? Explain how you know.

<p>graph of y = f of x. horizontal asymptote at y = -2 point 5. x intercept at 0 point 5. </p>

<p>graph of y = g of x. horizontal asymptote at y = 2 point 5. x intercept at - 0 point 5. </p>

Problem 4

ForLesson 7: Using Factors and Zeros

Which polynomial function’s graph is shown here?

<p>polynomial function with roots of -1, 2, and 5</p>

Problem 5

ForLesson 9: End Behavior (Part 2)

State the degree and end behavior of . Explain or show your reasoning.

Problem 6

ForLesson 2: Graphs of Rational Functions (Part 1)

The graphs of two rational functions and are shown. Which function must be given by the expression of ? Explain how you know.

<p>graph of y = f of x. vertical asymptote at x = 3. y intercept at -2 point 5. </p>

<p>graph of y = g of x. vertical asymptote at x = -3. y intercept at 2 point 5. </p>

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