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. + to (a) Find all x-intercepts and y-intercepts. Check all that apply. x-intercept(s): y-intercept(s): 0-4 0-3 ☐ 0 None 0 0-3 -4 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)
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 67E: Graph each rational function. Check your work with a graphing calculator. f(x)=x(x+3)2
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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.
+
to
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. + to
(a) Find all x-intercepts and y-intercepts. Check all that apply.
x-intercept(s):
y-intercept(s):
0-4
0-3
☐ 0
None
0
0-3
-4
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): y-intercept(s): 0-4 0-3 ☐ 0 None 0 0-3 -4 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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