Which of the following statements about this function are true? Select all that apply.

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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### Exploring the Function \( f(x) = \log x \)

#### Graph Analysis

Examine the graph below representing the function \( f(x) = \log x \).

![Graph of \( f(x) = \log x \)](attachment:example.png)  

- **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.
Transcribed Image Text:### Exploring the Function \( f(x) = \log x \) #### Graph Analysis Examine the graph below representing the function \( f(x) = \log x \). ![Graph of \( f(x) = \log x \)](attachment:example.png) - **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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