Graph Using a Table of Values y=3|x|

$y = 3 | x |$

Step 1

Substitute $- 2$ for $x$ and find the result for $y$ .

$y = 3 | - 2 |$

Step 2

Simplify $3 | - 2 |$ .

The absolute value is the distance between a number and zero. The distance between $- 2$ and $0$ is $2$ .

$y = 3 \cdot 2$

Multiply $3$ by $2$ .

$y = 6$

Step 3

Substitute $- 1$ for $x$ and find the result for $y$ .

$y = 3 | - 1 |$

Step 4

Simplify $3 | - 1 |$ .

The absolute value is the distance between a number and zero. The distance between $- 1$ and $0$ is $1$ .

$y = 3 \cdot 1$

Multiply $3$ by $1$ .

$y = 3$

Step 5

Substitute $0$ for $x$ and find the result for $y$ .

$y = 3 | 0 |$

Step 6

Simplify $3 | 0 |$ .

The absolute value is the distance between a number and zero. The distance between $0$ and $0$ is $0$ .

$y = 3 \cdot 0$

Multiply $3$ by $0$ .

$y = 0$

Step 7

Substitute $1$ for $x$ and find the result for $y$ .

$y = 3 | 1 |$

Step 8

Simplify $3 | 1 |$ .

The absolute value is the distance between a number and zero. The distance between $0$ and $1$ is $1$ .

$y = 3 \cdot 1$

Multiply $3$ by $1$ .

$y = 3$

Step 9

Substitute $2$ for $x$ and find the result for $y$ .

$y = 3 | 2 |$

Step 10

Simplify $3 | 2 |$ .

The absolute value is the distance between a number and zero. The distance between $0$ and $2$ is $2$ .

$y = 3 \cdot 2$

Multiply $3$ by $2$ .

$y = 6$

Step 11

This is a table of possible values to use when graphing the equation.

$\begin{array}{c} x & y \\ - 2 & 6 \\ - 1 & 3 \\ 0 & 0 \\ 1 & 3 \\ 2 & 6 \end{array}$

Step 12

Graph Using a Table of Values y=3|x|

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