Which of the following functions describes the graph of h(x)? h(z) -10 h(x)= Oh(x)= 3x +2 x-1 3x +2 X+1 O f(x)=3 X+1 Ob(x)=2x X-1

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:**
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. \[
h(x) = \frac{3x}{x - 1}
\]
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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