e 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. I (a) 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): ☐ (b) Find the domain and range of f. Write each answer as an interval or union of intervals. Domain: ☐ Range: (c) Find all x-intercepts and y-intercepts. Check all that apply. x-intercept(s): 0-4 04 0 -2 ☐ None y-intercept(s): 0-2 02 4 ☐ None
e 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. I (a) 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): ☐ (b) Find the domain and range of f. Write each answer as an interval or union of intervals. Domain: ☐ Range: (c) Find all x-intercepts and y-intercepts. Check all that apply. x-intercept(s): 0-4 04 0 -2 ☐ None y-intercept(s): 0-2 02 4 ☐ None
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
Transcribed Image Text:e 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.
I
Transcribed Image Text:(a) 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): ☐
(b) Find the domain and range of f.
Write each answer as an interval or union of intervals.
Domain: ☐
Range:
(c) Find all x-intercepts and y-intercepts. Check all that apply.
x-intercept(s):
0-4 04
0 -2
☐ None
y-intercept(s): 0-2 02
4
☐ None
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