Chapter 5: Q. 115 (page 250)

In Problems 113–116, graph each function. Based on the graph, state the domain and the range and find any intercepts.
$f (x) = \{\begin{cases} - \ln (x) & i f x < 0 \\ \ln (x) & i f x > 0 . \end{cases}$

Short Answer

Expert verified

$f (x) = \{\begin{cases} - \ln (x) & i f x < 0 \\ \ln (x) & i f x > 0 . \end{cases}$

Step by step solution

Step 1. Given information

$f (x) = \{\begin{cases} - \ln (x) & i f x < 0 \\ \ln (x) & i f x > 0 . \end{cases}$

Step 2. Graph the function

Step 3. Determine the domain and range and intercept in the graph

The domain of the graph $f (x)$ is $(0, \infty]$ and range of the $f (x)$ is $[0, \frac{7}{2}]$ and the intercept in co-ordinate axes at $(0, 1) .$

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In Problems 113–116, graph each function. Based on the graph, state the domain and the range and find any intercepts.
$f (x) = \{\begin{cases} - \ln (x) & i f x < 0 \\ \ln (x) & i f x > 0 . \end{cases}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Graph the function

Step 3. Determine the domain and range and intercept in the graph

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In Problems 113–116, graph each function. Based on the graph, state the domain and the range and find any intercepts.fx=-lnxifx<0lnxifx>0.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Graph the function

Step 3. Determine the domain and range and intercept in the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Theoretical and Mathematical Physics

Discrete Mathematics

Decision Maths

Pure Maths

Geometry

Study anywhere. Anytime. Across all devices.

In Problems 113–116, graph each function. Based on the graph, state the domain and the range and find any intercepts.
$f (x) = \{\begin{cases} - \ln (x) & i f x < 0 \\ \ln (x) & i f x > 0 . \end{cases}$