Q. 116 - Precalculus Enhanced with Graphing Utilities

Question

In Problems 113–116, graph each function. Based on the graph, state the domain and the range and find any intercepts. 

$f\left(x\right)=\left\{\begin{array}{ll}\ln x& if 0<x<1\\ -\ln x& if x\ge 0.\end{array}\right.$

Step-by-Step Solution

Answer

Step 1. Given information

$f\left(x\right)=\left\{\begin{array}{ll}\ln x& if 0<x<1\\ -\ln x& if x\ge 0.\end{array}\right.$

Step 2. Graph the function

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

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