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,...
icon
Related questions
Question
### Logarithmic Function Analysis

#### Task:
Analyze the graph below to identify the key features of the logarithmic function.

![Logarithmic Function Graph](image_link)

#### 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.
Transcribed Image Text:### Logarithmic Function Analysis #### Task: Analyze the graph below to identify the key features of the logarithmic function. ![Logarithmic Function Graph](image_link) #### 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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education