Chapter 4.4, Problem 24PPE

To determine

To graph: The equation $y=\left|x\right|-7$ on the graph paper.

Explanation of Solution

Given:

The equation is $y=\left|x\right|-7$ .

Calculation:

Substitute $x=0$ in the equation $y=\left|x\right|-7$ to obtain the value of $y$ as follows:

  $\begin{array}{c}y=\left|0\right|-7\\ =0-7\\ =-7\end{array}$

Substitute $x=10$ in the given equation $y=\left|x\right|-7$ to obtain the value of $y$ as follows:

  $\begin{array}{c}y=\left|10\right|-7\\ =10-7\\ =3\end{array}$

Substitute $x=-7$ in the given equation $y=\left|x\right|-7$ to obtain the value of $y$ as follows:

  $\begin{array}{c}y=\left|-7\right|-7\\ =7-7\\ =0\end{array}$

Substitute $x=-10$ in the given equation $y=\left|x\right|-7$ to obtain the value of $y$ as follows:

  $\begin{array}{c}y=\left|-10\right|-7\\ =10-7\\ =3\end{array}$

Substitute the obtained values in the table given below.

$x$	$y$
0	$-7$
10	3
$-7$	0
$-10$	3

Plot the points and join them to obtain the graph as follows: