Chapter 3.3, Problem 59STP

To determine

To identify: The domain and range of the function by graph of the function.

Answer to Problem 59STP

Domain is $ℝ$ and range is $\left[2,-\infty \right)$ .

Explanation of Solution

Given:

  $g\left(x\right)=\{\begin{array}{l}0\text{ if }x<0\\ -x+2\text{ if }x\ge 0\end{array}$

$g\left(x\right)=\{\begin{array}{l}0\text{ if }x<0\\ -x+2\text{ if }x\ge 0\end{array}$ is given function and it has to find domain and range by graph.

Now graph of the function is

  

Now domain of the function is $ℝ$ and range of the function is $\left[2,-\infty \right)$ .

Hence, domain is $ℝ$ and range is $\left[2,-\infty \right)$ .