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The graph of a rational function f is shown below. Assume that all asymptotes and intercepts are shown and that the graph has no "holes". Use the graph to complete the following. -8 (a) Find all x-intercepts and y-intercepts. Check all that apply. x-intercept(s): ☐ 3 -2 0 2 ☐ None y-intercept(s): 0 -2 ☐ 2 ☐ 0 None (b) Write the equations for all vertical and horizontal asymptotes. Enter the equations using the "and" button as necessary. Select "None" as necessary. Vertical asymptote(s): Horizontal asymptote(s): ☐ (c) Find the domain and range of f. Write each answer as an interval or union of intervals. Domain: Range:

The graph of a rational function f is shown below. Assume that all asymptotes and intercepts are shown and that the graph has no "holes". Use the graph to complete the following. -8 (a) Find all x-intercepts and y-intercepts. Check all that apply. x-intercept(s): ☐ 3 -2 0 2 ☐ None y-intercept(s): 0 -2 ☐ 2 ☐ 0 None (b) Write the equations for all vertical and horizontal asymptotes. Enter the equations using the "and" button as necessary. Select "None" as necessary. Vertical asymptote(s): Horizontal asymptote(s): ☐ (c) Find the domain and range of f. Write each answer as an interval or union of intervals. Domain: Range:

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.6: Rational Functions
Problem 98E
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Finding the intercepts, asymptotes, domain, and range from the graph of a rational function

 

The graph of a rational function f is shown below. Assume that all asymptotes and intercepts are shown and that the graph has no "holes". Use the graph to complete the following. -8
Transcribed Image Text:The graph of a rational function f is shown below. Assume that all asymptotes and intercepts are shown and that the graph has no "holes". Use the graph to complete the following. -8
(a) Find all x-intercepts and y-intercepts. Check all that apply. x-intercept(s): ☐ 3 -2 0 2 ☐ None y-intercept(s): 0 -2 ☐ 2 ☐ 0 None (b) Write the equations for all vertical and horizontal asymptotes. Enter the equations using the "and" button as necessary. Select "None" as necessary. Vertical asymptote(s): Horizontal asymptote(s): ☐ (c) Find the domain and range of f. Write each answer as an interval or union of intervals. Domain: Range:
Transcribed Image Text:(a) Find all x-intercepts and y-intercepts. Check all that apply. x-intercept(s): ☐ 3 -2 0 2 ☐ None y-intercept(s): 0 -2 ☐ 2 ☐ 0 None (b) Write the equations for all vertical and horizontal asymptotes. Enter the equations using the "and" button as necessary. Select "None" as necessary. Vertical asymptote(s): Horizontal asymptote(s): ☐ (c) Find the domain and range of f. Write each answer as an interval or union of intervals. Domain: Range:
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