The graph of a rational function f(x) = = n(x) is shown below. To view other parts of the graph, click on the graph and drag it. d(a) -4-2 e a. The zero(s) of f(z): b. The vertical asymptote(s) of f(x): c. The zero(s) of n(z): d. The zero(s) of d(z): e. The zero(s) of n(z) of even multiplicity: f. The zero(s) of d(z) of even multiplicity: g. The horizontal asymptote of f(z) occurs at: y = h. The equation for f(z) is: f(x) = 10 Assume that all key features (zeros, asymptotes, holes) are visible in the graph above and occur at integers. Assume that n(z) and d(z) have no common factors and that all factors are of multiplicity 1 or 2. N 14 Fill in the following blanks. Write "DNE" if an answer does not exist. If more than one answer exists, separate items in your list with commas. Preview (2 Preview Preview Preview 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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The graph of a rational function … is shown below. To view other parts of the graph, click on the graph and drag it. d(=) Assume that all key features (zeros, asymptotes, holes) are visible in the graph above and occur at integers. Assume that n(z) and d(E) have no common factors and that all factors are of multiplicity 1 or 2. Fill in the following blanks. Write "DNE" if an answer does not exist. If more than one answer exists, separate items in your list with commas.
The graph of a rational function \( f(x) = \frac{n(x)}{d(x)} \) is shown below. To view other parts of the graph, click on the graph and drag it.

[Graph Image]
- The graph depicts a rational function with observable features such as asymptotes and potential zeros.
- There is a vertical asymptote at \( x = -2 \).
- There is a horizontal asymptote along the x-axis at \( y = 0 \).
- The x-coordinate for the apparent zero of the function is \( x = -6 \).

Assume that all key features (zeros, asymptotes, holes) are visible in the graph above and occur at integers. Assume that \( n(x) \) and \( d(x) \) have no common factors and that all factors are of multiplicity 1 or 2.

Fill in the following blanks. Write "DNE" if an answer does not exist. If more than one answer exists, separate items in your list with commas.

a. The zero(s) of \( f(x) \):  
\[ \_\_\_ \] Preview

b. The vertical asymptote(s) of \( f(x) \):  
\[ \_\_\_ \] Preview

c. The zero(s) of \( n(x) \):  
\[ \_\_\_ \] Preview

d. The zero(s) of \( d(x) \):  
\[ \_\_\_ \] Preview

e. The zero(s) of \( n(x) \) of even multiplicity:  
\[ \_\_\_ \] Preview

f. The zero(s) of \( d(x) \) of even multiplicity:  
\[ \_\_\_ \] Preview

g. The horizontal asymptote of \( f(x) \) occurs at \( y = \):  
\[ \_\_\_ \] Preview

h. The equation for \( f(x) \) is:  
\( f(x) = \)  
\[ \_\_\_ \] Preview
Transcribed Image Text:The graph of a rational function \( f(x) = \frac{n(x)}{d(x)} \) is shown below. To view other parts of the graph, click on the graph and drag it. [Graph Image] - The graph depicts a rational function with observable features such as asymptotes and potential zeros. - There is a vertical asymptote at \( x = -2 \). - There is a horizontal asymptote along the x-axis at \( y = 0 \). - The x-coordinate for the apparent zero of the function is \( x = -6 \). Assume that all key features (zeros, asymptotes, holes) are visible in the graph above and occur at integers. Assume that \( n(x) \) and \( d(x) \) have no common factors and that all factors are of multiplicity 1 or 2. Fill in the following blanks. Write "DNE" if an answer does not exist. If more than one answer exists, separate items in your list with commas. a. The zero(s) of \( f(x) \): \[ \_\_\_ \] Preview b. The vertical asymptote(s) of \( f(x) \): \[ \_\_\_ \] Preview c. The zero(s) of \( n(x) \): \[ \_\_\_ \] Preview d. The zero(s) of \( d(x) \): \[ \_\_\_ \] Preview e. The zero(s) of \( n(x) \) of even multiplicity: \[ \_\_\_ \] Preview f. The zero(s) of \( d(x) \) of even multiplicity: \[ \_\_\_ \] Preview g. The horizontal asymptote of \( f(x) \) occurs at \( y = \): \[ \_\_\_ \] Preview h. The equation for \( f(x) \) is: \( f(x) = \) \[ \_\_\_ \] Preview
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