Analyze the graph below to identify the key features of the logarithmic function. O The x-intercept is y = 2, and the graph approaches a vertical asymptote at y = 3. O The x-intercept is x=2, and the graph approaches a vertical asymptote at x = 3. O The x-intercept is y = -2, and the graph approaches a vertical asymptote at y = -3. O The x-intercept is x = -2, and the graph approaches a vertical asymptote at x = -3.
Analyze the graph below to identify the key features of the logarithmic function. O The x-intercept is y = 2, and the graph approaches a vertical asymptote at y = 3. O The x-intercept is x=2, and the graph approaches a vertical asymptote at x = 3. O The x-intercept is y = -2, and the graph approaches a vertical asymptote at y = -3. O The x-intercept is x = -2, and the graph approaches a vertical asymptote at x = -3.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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#### Graph Description:
- The graph shows a typical logarithmic curve.
- The x-axis and y-axis intersect at the origin (0,0).
- The curve passes through the point (1, 0) on the x-axis.
- The curve approaches a vertical asymptote at \( x = -2 \).
#### Options:
Select the correct statement that describes the key features of the logarithmic function:
- \( \circ \) The x-intercept is \( y = 2 \), and the graph approaches a vertical asymptote at \( y = 3 \).
- \( \circ \) The x-intercept is \( x = 2 \), and the graph approaches a vertical asymptote at \( x = 3 \).
- \( \circ \) The x-intercept is \( y = -2 \), and the graph approaches a vertical asymptote at \( y = -3 \).
- \( \circ \) The x-intercept is \( x = -2 \), and the graph approaches a vertical asymptote at \( x = -3 \).
#### Answer Explanation:
Based on the graph, the correct statement is the one that accurately describes both the x-intercept and the behavior of the graph as it approaches the vertical asymptote. The graph approaches a vertical asymptote at \( x = -2 \), making the relevant option the correct one.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F355372c0-0b06-4568-8d9a-cddd4364f7ea%2F29604cf9-919e-4042-aa98-32ab7a4e393d%2Fs2zy5rb_processed.png&w=3840&q=75)
Transcribed Image Text:### Logarithmic Function Analysis
#### Task:
Analyze the graph below to identify the key features of the logarithmic function.
#### Graph Description:
- The graph shows a typical logarithmic curve.
- The x-axis and y-axis intersect at the origin (0,0).
- The curve passes through the point (1, 0) on the x-axis.
- The curve approaches a vertical asymptote at \( x = -2 \).
#### Options:
Select the correct statement that describes the key features of the logarithmic function:
- \( \circ \) The x-intercept is \( y = 2 \), and the graph approaches a vertical asymptote at \( y = 3 \).
- \( \circ \) The x-intercept is \( x = 2 \), and the graph approaches a vertical asymptote at \( x = 3 \).
- \( \circ \) The x-intercept is \( y = -2 \), and the graph approaches a vertical asymptote at \( y = -3 \).
- \( \circ \) The x-intercept is \( x = -2 \), and the graph approaches a vertical asymptote at \( x = -3 \).
#### Answer Explanation:
Based on the graph, the correct statement is the one that accurately describes both the x-intercept and the behavior of the graph as it approaches the vertical asymptote. The graph approaches a vertical asymptote at \( x = -2 \), making the relevant option the correct one.
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