Graph Using a Table of Values F(x)=1/(x+2)

$F (x) = \frac{1}{x + 2}$

Step 1

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

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

Step 2

Solve the equation for $y$ .

Remove parentheses.

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

Remove parentheses.

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

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

Add $- 1$ and $2$ .

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

Divide $1$ by $1$ .

$y = 1$

Step 3

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

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

Step 4

Solve the equation for $y$ .

Remove parentheses.

$y = \frac{1}{0 + 2}$

Remove parentheses.

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

Add $0$ and $2$ .

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

Step 5

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

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

Step 6

Solve the equation for $y$ .

Remove parentheses.

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

Remove parentheses.

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

Add $1$ and $2$ .

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

Step 7

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

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

Step 8

Solve the equation for $y$ .

Remove parentheses.

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

Remove parentheses.

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

Add $2$ and $2$ .

$y = \frac{1}{4}$

Step 9

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

$\begin{array}{c} x & y \\ - 1 & 1 \\ 0 & \frac{1}{2} \\ 1 & \frac{1}{3} \\ 2 & \frac{1}{4} \end{array}$

Step 10

Graph Using a Table of Values F(x)=1/(x+2)

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