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---

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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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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