Consider the following. f(x) = 3(x²8 -x + 3) Use a graphing utility to graph the function. Determine its domain and identify any vertical or horizontal asymptotes. STEP 1: Rewrite f as a rational function. f(x) = )(x + STEP 2: When the denominator of f is zero, f is undefined. Use the denominator of your result for Step 1 to determine the domain of f. (Enter your answer using interval notation.) (x - STEP 3: Find the vertical asymptotes of f, once again referring to the denominator of your result for Step 1. (If an answer does not exist, enter DNE.) (smaller value) X = X = (larger value) STEP 4: Compare the degree of the numerator to the degree of the denominator in your result for Step 1. What does this comparison tell you about the horizontal asymptotes of f? Since the degree of the numerator is ---Select--- the degree of the denominator, ---Select---

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
Section2.4: A Library Of Parent Functions
Problem 47E: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate...
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Consider the following.
1
1
F(x) = 3(x = 8 - x + 3)
Use a graphing utility to graph the function. Determine its domain and identify any vertical or horizontal asymptotes.
STEP 1: Rewrite f as a rational function.
f(x)
|)(x +
STEP 2: When the denominator of f is zero, f is undefined. Use the denominator of your result for Step 1 to determine the domain of f. (Enter your answer using interval notation.)
=
STEP 3: Find the vertical asymptotes of f, once again referring to the denominator of your result for Step 1. (If an answer does not exist, enter DNE.)
(smaller value)
X =
X =
(larger value)
STEP 4: Compare the degree of the numerator to the degree of the denominator in your result for Step 1. What does this comparison tell you about the horizontal asymptotes of f?
Since the degree of the numerator is ---Select--- the degree of the denominator,
---Select---
Transcribed Image Text:Consider the following. 1 1 F(x) = 3(x = 8 - x + 3) Use a graphing utility to graph the function. Determine its domain and identify any vertical or horizontal asymptotes. STEP 1: Rewrite f as a rational function. f(x) |)(x + STEP 2: When the denominator of f is zero, f is undefined. Use the denominator of your result for Step 1 to determine the domain of f. (Enter your answer using interval notation.) = STEP 3: Find the vertical asymptotes of f, once again referring to the denominator of your result for Step 1. (If an answer does not exist, enter DNE.) (smaller value) X = X = (larger value) STEP 4: Compare the degree of the numerator to the degree of the denominator in your result for Step 1. What does this comparison tell you about the horizontal asymptotes of f? Since the degree of the numerator is ---Select--- the degree of the denominator, ---Select---
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