Chapter 5: Q. 116 (page 299)

In Problems 113–116, graph each function. Based on the graph, state the domain and the range and find any intercepts.
$f (x) = \{\begin{cases} \ln x & i f 0 < x < 1 \\ - \ln x & i f x \geq 0 . \end{cases}$

Short Answer

Expert verified

$f (x) = \{\begin{cases} \ln x & i f 0 < x < 1 \\ - \ln x & i f x \geq 0 . \end{cases}$

Step by step solution

Step 1. Given information

$f (x) = \{\begin{cases} \ln x & i f 0 < x < 1 \\ - \ln x & i f x \geq 0 . \end{cases}$

Step 2. Graph the function

Step 3. Determine the domain and range and any intercepts in the graph

The domain of the $f (x)$ is $[0, \infty)$ and the range of the graph $f (x)$ is $[- \frac{7}{2}, 0]$ 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.
$f (x) = \{\begin{cases} \ln x & i f 0 < x < 1 \\ - \ln x & i f x \geq 0 . \end{cases}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Graph the function

Step 3. Determine the domain and range and any intercepts 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=lnxif0<x<1-lnxifx≥0.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Graph the function

Step 3. Determine the domain and range and any intercepts in the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Calculus

Geometry

Discrete Mathematics

Mechanics Maths

Applied Mathematics

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.
$f (x) = \{\begin{cases} \ln x & i f 0 < x < 1 \\ - \ln x & i f x \geq 0 . \end{cases}$