Chapter 4.4, Problem 26PPE

To determine

To graph: The equation $y=2\left|x\right|$ on the graph paper.

Explanation of Solution

Given:

The equation is $y=2\left|x\right|$ .

Calculation:

Substitute $x=0$ in the equation $y=2\left|x\right|$ to obtain the value of $y$ as follows:

  $\begin{array}{c}y=2\left|0\right|\\ =0\end{array}$

Substitute $x=10$ in the given equation $y=2\left|x\right|$ to obtain the value of $y$ as follows:

  $\begin{array}{c}y=2\left|10\right|\\ =20\end{array}$

Substitute $x=-7$ in the given equation $y=2\left|x\right|$ to obtain the value of $y$ as follows:

  $\begin{array}{c}y=2\left|-7\right|\\ =2\times 7\\ =14\end{array}$

Substitute $x=-10$ in the given equation $y=2\left|x\right|$ to obtain the value of $y$ as follows:

  $\begin{array}{c}y=2\left|-10\right|\\ =2\times 10\\ =20\end{array}$

Substitute the obtained values in the table given below.

$x$	$y$
0	0
10	20
$-7$	14
$-10$	20

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