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. (a) Find all x-intercepts and y-intercepts. Check all that apply. x-intercept(s): -4 -3 0 None y-intercept(s): 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:
Added by Erica A.
Close
Step 1
So the correct answer is \(x\)-intercept(s): -4, -3, 0. For the y-intercepts, we can see that the graph intersects the y-axis at 0, -3, and -4. So the correct answer is \(y\)-intercept(s): 0, -3, -4. Show more…
Show all steps
Your feedback will help us improve your experience
Kathleen Carty and 61 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
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. (a) Find all x-intercepts and y-intercepts. Check all that apply. x-intercept(s): -1, -2, -4, None y-intercept(s): -4, -2, -1, 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:
Julie S.
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. (a) Find all x-intercepts and y-intercepts. Check all that apply. x-intercept(s): 4, 0, 1, None y-intercept(s): 1, 4, 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:
Suman Saurav T.
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. (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): -4, 4, -2, None y-intercept(s): -2, 2, 4, None
Jen H.
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD