Find Three Ordered Pair Solutions r(x)=9/8|x|

$r (x) = \frac{9}{8} | x |$

Step 1

Write $r (x) = \frac{9}{8} | x |$ as an equation.

$y = \frac{9}{8} | x |$

Step 2

Combine $\frac{9}{8}$ and $| x |$ .

$y = \frac{9 | x |}{8}$

Step 3

Choose any value for $x$ that is in the domain to plug into the equation.

Step 4

Choose $0$ to substitute in for $x$ to find the ordered pair.

Simplify $\frac{9 | 0 |}{8}$ .

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

$y = \frac{9 \cdot 0}{8}$

Multiply $9$ by $0$ .

$y = \frac{0}{8}$

Divide $0$ by $8$ .

$y = 0$

Use the $x$ and $y$ values to form the ordered pair.

$(0, 0)$

Step 5

Choose $1$ to substitute in for $x$ to find the ordered pair.

Simplify $\frac{9 | 1 |}{8}$ .

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

$y = \frac{9 \cdot 1}{8}$

Multiply $9$ by $1$ .

$y = \frac{9}{8}$

Use the $x$ and $y$ values to form the ordered pair.

$(1, \frac{9}{8})$

Step 6

Choose $2$ to substitute in for $x$ to find the ordered pair.

Simplify $\frac{9 | 2 |}{8}$ .

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

$y = \frac{9 \cdot 2}{8}$

Multiply $9$ by $2$ .

$y = \frac{18}{8}$

Cancel the common factor of $18$ and $8$ .

Factor $2$ out of $18$ .

$y = \frac{2 (9)}{8}$

Cancel the common factors.

Factor $2$ out of $8$ .

$y = \frac{2 \cdot 9}{2 \cdot 4}$

Cancel the common factor.

$y = \frac{2 \cdot 9}{2 \cdot 4}$

Rewrite the expression.

$y = \frac{9}{4}$

Use the $x$ and $y$ values to form the ordered pair.

$(2, \frac{9}{4})$

Step 7

These are three possible solutions to the equation.

$(0, 0), (1, \frac{9}{8}), (2, \frac{9}{4})$

Step 8

Find Three Ordered Pair Solutions r(x)=9/8|x|

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