Graph Using a Table of Values f(x)=(x+1)/(x-1)

$f (x) = \frac{x + 1}{x - 1}$

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

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

Solve the equation for $y$ .

Remove parentheses.

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

Remove parentheses.

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

Remove parentheses.

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

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

Simplify by adding and subtracting.

Add $- 2$ and $1$ .

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

Subtract $1$ from $- 2$ .

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

Dividing two negative values results in a positive value.

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

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

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

Solve the equation for $y$ .

Remove parentheses.

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

Remove parentheses.

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

Remove parentheses.

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

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

Add $- 1$ and $1$ .

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

Subtract $1$ from $- 1$ .

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

Divide $0$ by $- 2$ .

$y = 0$

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

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

Solve the equation for $y$ .

Remove parentheses.

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

Remove parentheses.

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

Remove parentheses.

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

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

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

Solve the equation for $y$ .

Remove parentheses.

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

Remove parentheses.

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

Remove parentheses.

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

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

Add $2$ and $1$ .

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

Subtract $1$ from $2$ .

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

Divide $3$ by $1$ .

$y = 3$

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

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

Graph Using a Table of Values f(x)=(x+1)/(x-1)

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