Chapter 5.3, Problem 98AYU

To determine

To graph : The given function, then find the domain and range and any intercept.

Explanation of Solution

Given: The given function is $f\left(x\right)=\{\begin{array}{l}{e}^{-x}\text{if}x<0\\ e^x\text{if}x\ge 0\end{array}$

Consider the function.

  $f\left(x\right)=\{\begin{array}{l}{e}^x\text{if}x<0\\ e^{-x}\text{if}x\ge 0\end{array}$

The graph of the above function is shown in figure below.

  

Figure (1)

The domain of the function is $\left(-\infty ,\infty \right)$ .

The range of the function is $\left[-1,\infty \right)$ .

Therefore, the graph of the function is shown in Figure (1), the domain is $\left(-\infty ,\infty \right)$ and the range is $\left[-1,\infty \right)$ .