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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Question
![**Question:**
Which of the following functions describes the graph of \(h(x)\)?
**Image Description:**
The given image depicts a graph with two axes: the x-axis (horizontal) and the y-axis (vertical). The graph features two asymptotes: a vertical asymptote close to \(x = 1\) and a horizontal asymptote close to \(y = 3\). Additionally, the graph depicted is a hyperbola, revealing that the function is rational.
**Options:**
1. \[
h(x) = \frac{3x + 2}{x - 1}
\]
2. \[
h(x) = \frac{3x + 2}{x + 1}
\]
3. \[
h(x) = \frac{3x}{x + 1}
\]
4. \[
h(x) = \frac{3x}{x - 1}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F355372c0-0b06-4568-8d9a-cddd4364f7ea%2F0c3f8f45-b7a0-4837-ba92-deff0e9fd8af%2F3lcysgi_processed.png&w=3840&q=75)
Transcribed Image Text:**Question:**
Which of the following functions describes the graph of \(h(x)\)?
**Image Description:**
The given image depicts a graph with two axes: the x-axis (horizontal) and the y-axis (vertical). The graph features two asymptotes: a vertical asymptote close to \(x = 1\) and a horizontal asymptote close to \(y = 3\). Additionally, the graph depicted is a hyperbola, revealing that the function is rational.
**Options:**
1. \[
h(x) = \frac{3x + 2}{x - 1}
\]
2. \[
h(x) = \frac{3x + 2}{x + 1}
\]
3. \[
h(x) = \frac{3x}{x + 1}
\]
4. \[
h(x) = \frac{3x}{x - 1}
\]
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