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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Question

- **Axes:** The graph has labeled axes with \( x \)-axis and \( y \)-axis marked from -10 to 10.
- **Curve:** The logarithmic curve starts near the y-axis, curving upwards to the right as \( x \) increases. It approaches the y-axis asymptotically, never crossing it, to the left.
#### True Statements Inquiry
Determine the validity of the following statements about the function. Select all that apply.
1. As \( x \) approaches \( +\infty \),
- \( f(x) \) approaches \( +\infty \).
2. As \( x \) approaches \( 0^+ \),
- \( f(x) \) approaches \(-\infty \).
Use the graph to analyze and select the correct statements based on the behavior of the log function.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1c3d4b5b-7c63-4562-84e8-65fa84143989%2Ff8d748df-961b-49b3-ba89-8e4a927c6fd1%2Flp500ec_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Exploring the Function \( f(x) = \log x \)
#### Graph Analysis
Examine the graph below representing the function \( f(x) = \log x \).

- **Axes:** The graph has labeled axes with \( x \)-axis and \( y \)-axis marked from -10 to 10.
- **Curve:** The logarithmic curve starts near the y-axis, curving upwards to the right as \( x \) increases. It approaches the y-axis asymptotically, never crossing it, to the left.
#### True Statements Inquiry
Determine the validity of the following statements about the function. Select all that apply.
1. As \( x \) approaches \( +\infty \),
- \( f(x) \) approaches \( +\infty \).
2. As \( x \) approaches \( 0^+ \),
- \( f(x) \) approaches \(-\infty \).
Use the graph to analyze and select the correct statements based on the behavior of the log function.
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