Chapter 1.7, Problem 3CFU

To determine

To find: the function represented by the graph.

Answer to Problem 3CFU

  $f\left(n\right)=\{\begin{array}{l}x+2,\text{ if }x\le 0\\ x,\text{ if }0<x\le 4\\ x-2,\text{ if }x>4\end{array}$

Explanation of Solution

Given information:

The graph given is as follows:

  

Calculation:

There are three different pieces of graph. Look at the points on the graph at these three pieces. The function changes its expression in $f\left(x\right)$ at $x\le 0,0<x\le 4\text{ and }x>4$ . Therefore, the function of graph is as follows:

  $f\left(n\right)=\{\begin{array}{l}x+2,\text{ if }x\le 0\\ x,\text{ if }0<x\le 4\\ x-2,\text{ if }x>4\end{array}$