Chapter 1, Problem 55SGA

To determine

To graph: $h\left(x\right)$

Answer to Problem 55SGA

  

Explanation of Solution

Given information:

  $h\left(x\right)=\left\{\begin{array}{l}-1\text{ if }-2\le x\le 0\\ -3\text{ if 0<}x\le 2\\ 2x\text{ if 2<}x\le 4\end{array}\right\}$

Calculation:

Draw a table of x and $h\left(x\right)$ as follows:

$x$	$h\left(x\right)$
$-2$	$-1$
$-1$	$-1$
0	$-1$
0	$\text{ο0}$
1	$-3$
2	$-6$
2	$\text{ο4}$
3	6
4	8

Now, graph $h\left(x\right)$ by plotting the values as shown below.