Consider the function f(x) For each prompt below, if no solution exists - enter "DNE". If there is more than one solution, enter your answer as a comma-separated list (like "1, 3"). You may find it helpful to rewrite the numerator or denominator in a different form to help you complete some of the parts. a. Determine the vertical intercept of f. f(0) = 7/48 b. Determine the zeros (or "roots") of f. x = -sqrt(7), sqrt(7) x² 7 (4x12)(x + 4) X= -4 Preview c. Determine the vertical asymptote(s) of f. y = Preview Preview d. Determine the horizontal asymptote of f. Preview 7 48 = 0.14583333333333334. √7 -2.6457513110645907., √7 -4 -4. 2.6457513110645907.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.2: Linear Functions And Applications
Problem 31PS
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Consider the function f(x)=x2−7(4x−12)(x+4). For each prompt below, if no solution exists - enter "DNE". If there is more than one solution, enter your answer as a comma-separated list (like "1, 3"). You may find it helpful to rewrite the numerator or denominator in a different form to help you complete some of the parts.

(D)

7
(4x − 12) (x + 4)
For each prompt below, if no solution exists - enter "DNE". If there is more than one
solution, enter your answer as a comma-separated list (like "1, 3"). You may find it helpful to rewrite the numerator or denominator in a different
form to help you complete some of the parts.
a. Determine the vertical intercept of f.
Consider the function f(x) =
f(0) = 7/48
b. Determine the zeros (or "roots") of f.
x = -sqrt(7), sqrt(7)
X = -4
Preview
c. Determine the vertical asymptote(s) of f.
Preview
Preview
y =
d. Determine the horizontal asymptote of f.
Preview
7
48
=
0.14583333333333334.
-√√7 = -2.6457513110645907., √7= 2.6457513110645907.
-4 -4.
Transcribed Image Text:7 (4x − 12) (x + 4) For each prompt below, if no solution exists - enter "DNE". If there is more than one solution, enter your answer as a comma-separated list (like "1, 3"). You may find it helpful to rewrite the numerator or denominator in a different form to help you complete some of the parts. a. Determine the vertical intercept of f. Consider the function f(x) = f(0) = 7/48 b. Determine the zeros (or "roots") of f. x = -sqrt(7), sqrt(7) X = -4 Preview c. Determine the vertical asymptote(s) of f. Preview Preview y = d. Determine the horizontal asymptote of f. Preview 7 48 = 0.14583333333333334. -√√7 = -2.6457513110645907., √7= 2.6457513110645907. -4 -4.
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