Graph Using a Table of Values f(x)=(x-2)/(x+2)

$f (x) = \frac{x - 2}{x + 2}$

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

$y = \frac{(- 1) - 2}{(- 1) + 2}$

Solve the equation for $y$ .

Remove parentheses.

$y = \frac{- 1 - 2}{(- 1) + 2}$

Remove parentheses.

$y = \frac{- 1 - 2}{- 1 + 2}$

Remove parentheses.

$y = \frac{(- 1) - 2}{(- 1) + 2}$

Simplify $\frac{(- 1) - 2}{(- 1) + 2}$ .

Subtract $2$ from $- 1$ .

$y = \frac{- 3}{- 1 + 2}$

Add $- 1$ and $2$ .

$y = \frac{- 3}{1}$

Divide $- 3$ by $1$ .

$y = - 3$

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

$y = \frac{(0) - 2}{(0) + 2}$

Solve the equation for $y$ .

Remove parentheses.

$y = \frac{0 - 2}{(0) + 2}$

Remove parentheses.

$y = \frac{0 - 2}{0 + 2}$

Remove parentheses.

$y = \frac{(0) - 2}{(0) + 2}$

Simplify $\frac{(0) - 2}{(0) + 2}$ .

Cancel the common factor of $(0) - 2$ and $(0) + 2$ .

Factor $2$ out of $0$ .

$y = \frac{2 (0) - 2}{(0) + 2}$

Factor $2$ out of $- 2$ .

$y = \frac{2 \cdot 0 + 2 \cdot - 1}{(0) + 2}$

Factor $2$ out of $2 \cdot 0 + 2 \cdot - 1$ .

$y = \frac{2 \cdot (0 - 1)}{(0) + 2}$

Cancel the common factors.

Factor $2$ out of $0$ .

$y = \frac{2 \cdot (0 - 1)}{2 (0) + 2}$

Factor $2$ out of $2$ .

$y = \frac{2 \cdot (0 - 1)}{2 \cdot 0 + 2 \cdot 1}$

Factor $2$ out of $2 \cdot 0 + 2 \cdot 1$ .

$y = \frac{2 \cdot (0 - 1)}{2 \cdot (0 + 1)}$

Cancel the common factor.

$y = \frac{2 \cdot (0 - 1)}{2 \cdot (0 + 1)}$

Rewrite the expression.

$y = \frac{0 - 1}{0 + 1}$

Cancel the common factor of $0 - 1$ and $0 + 1$ .

Rewrite $0$ as $- 1 (0)$ .

$y = \frac{- 1 (0) - 1}{0 + 1}$

Rewrite $- 1$ as $- 1 (1)$ .

$y = \frac{- 1 \cdot 0 - 1 \cdot 1}{0 + 1}$

Factor $- 1$ out of $- 1 \cdot 0 - 1 \cdot 1$ .

$y = \frac{- 1 \cdot (0 + 1)}{0 + 1}$

Cancel the common factor.

$y = \frac{- 1 \cdot (0 + 1)}{0 + 1}$

Divide $- 1$ by $1$ .

$y = - 1$

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

$y = \frac{(1) - 2}{(1) + 2}$

Solve the equation for $y$ .

Remove parentheses.

$y = \frac{1 - 2}{(1) + 2}$

Remove parentheses.

$y = \frac{1 - 2}{1 + 2}$

Remove parentheses.

$y = \frac{(1) - 2}{(1) + 2}$

Simplify $\frac{(1) - 2}{(1) + 2}$ .

Subtract $2$ from $1$ .

$y = \frac{- 1}{1 + 2}$

Add $1$ and $2$ .

$y = \frac{- 1}{3}$

Move the negative in front of the fraction.

$y = - \frac{1}{3}$

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

$y = \frac{(2) - 2}{(2) + 2}$

Solve the equation for $y$ .

Remove parentheses.

$y = \frac{2 - 2}{(2) + 2}$

Remove parentheses.

$y = \frac{2 - 2}{2 + 2}$

Remove parentheses.

$y = \frac{(2) - 2}{(2) + 2}$

Simplify $\frac{(2) - 2}{(2) + 2}$ .

Cancel the common factor of $(2) - 2$ and $(2) + 2$ .

Factor $2$ out of $2$ .

$y = \frac{2 \cdot 1 - 2}{2 + 2}$

Factor $2$ out of $- 2$ .

$y = \frac{2 \cdot 1 + 2 \cdot - 1}{(2) + 2}$

Factor $2$ out of $2 \cdot 1 + 2 \cdot - 1$ .

$y = \frac{2 \cdot (1 - 1)}{(2) + 2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$y = \frac{2 \cdot (1 - 1)}{2 \cdot 1 + 2}$

Factor $2$ out of $2$ .

$y = \frac{2 \cdot (1 - 1)}{2 \cdot 1 + 2 (1)}$

Factor $2$ out of $2 \cdot 1 + 2 (1)$ .

$y = \frac{2 \cdot (1 - 1)}{2 \cdot (1 + 1)}$

Cancel the common factor.

$y = \frac{2 \cdot (1 - 1)}{2 \cdot (1 + 1)}$

Rewrite the expression.

$y = \frac{1 - 1}{1 + 1}$

Simplify the expression.

Subtract $1$ from $1$ .

$y = \frac{0}{1 + 1}$

Add $1$ and $1$ .

$y = \frac{0}{2}$

Divide $0$ by $2$ .

$y = 0$

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

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

Graph Using a Table of Values f(x)=(x-2)/(x+2)

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