Questione graph of a rational function 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.
(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 all -intercepts and -intercepts. Check all that apply. -intercept(s): - 6 None
-intercept(s): None
(c) Find the domain and range of .
Write each answer as an interval or union of intervals.
Domain:
Range:
Studdy Solution
The domain of the function is all real numbers except where the vertical asymptote occurs. Therefore, the domain is .
The range of the function is all real numbers except where the horizontal asymptote occurs. Therefore, the range is .
The solutions are as follows:
(a) Vertical asymptote(s):
Horizontal asymptote(s):
(b) -intercept(s):
-intercept(s):
(c) Domain:
Range:
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