For each of the following rational functions, determine where the vertical asymptote(s) of the function occur. If there is more than one vertical asymptote, enter your answer as a comma-separated list (like "1, 3"). If the function does not have a vertical asymptote, enter "DNE". a. f(x) H = b. g(x) H= c. h(x) H = d. h(r) x = = = = = 11 2-6 H 3x + 11 4x² + 4 3(x - 11)(x + 7) 7(x-6)(x+7) 3x² + 5 Preview Preview Preview Preview
For each of the following rational functions, determine where the vertical asymptote(s) of the function occur. If there is more than one vertical asymptote, enter your answer as a comma-separated list (like "1, 3"). If the function does not have a vertical asymptote, enter "DNE". a. f(x) H = b. g(x) H= c. h(x) H = d. h(r) x = = = = = 11 2-6 H 3x + 11 4x² + 4 3(x - 11)(x + 7) 7(x-6)(x+7) 3x² + 5 Preview Preview Preview Preview
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3) For each of the following rational functions, determine where the vertical asymptote(s) of the function occur. If there is more than one vertical asymptote, enter your answer as a comma-separated list (like "1, 3"). If the function does not have a vertical asymptote, enter
"DNE"
![**Instructions:** For each of the following rational functions, determine where the vertical asymptote(s) of the function occur. If there is more than one vertical asymptote, enter your answer as a comma-separated list (like "1, 3"). If the function does not have a vertical asymptote, enter "DNE".
**a.** \( f(x) = \frac{11}{x - 6} \)
\( x = \) [ ] (Preview)
**b.** \( g(x) = \frac{x}{3x + 11} \)
\( x = \) [ ] (Preview)
**c.** \( h(x) = \frac{4x^2 + 4}{3(x - 11)(x + 7)} \)
\( x = \) [ ] (Preview)
**d.** \( h(x) = \frac{7(x - 6)(x + 7)}{3x^2 + 5} \)
\( x = \) [ ] (Preview)
**e.** \( h(x) = \frac{(x - 7)^2(x + 10)(x + 13)}{x(x - 7)(x + 10)^2} \)
\( x = \) [ ] (Preview)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a31831f-6f00-4468-acbe-9e4738be30a7%2F7d701766-6b91-40b9-886d-087e4aa5e4e4%2Fxz00jz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Instructions:** For each of the following rational functions, determine where the vertical asymptote(s) of the function occur. If there is more than one vertical asymptote, enter your answer as a comma-separated list (like "1, 3"). If the function does not have a vertical asymptote, enter "DNE".
**a.** \( f(x) = \frac{11}{x - 6} \)
\( x = \) [ ] (Preview)
**b.** \( g(x) = \frac{x}{3x + 11} \)
\( x = \) [ ] (Preview)
**c.** \( h(x) = \frac{4x^2 + 4}{3(x - 11)(x + 7)} \)
\( x = \) [ ] (Preview)
**d.** \( h(x) = \frac{7(x - 6)(x + 7)}{3x^2 + 5} \)
\( x = \) [ ] (Preview)
**e.** \( h(x) = \frac{(x - 7)^2(x + 10)(x + 13)}{x(x - 7)(x + 10)^2} \)
\( x = \) [ ] (Preview)
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