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

$f (x) = \frac{1}{2 x}$

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

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

Solve the equation for $y$ .

Remove parentheses.

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

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

Multiply $2$ by $- 2$ .

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

Move the negative in front of the fraction.

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

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

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

Solve the equation for $y$ .

Remove parentheses.

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

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

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

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

Move the negative in front of the fraction.

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

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

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

Solve the equation for $y$ .

Remove parentheses.

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

Cancel the common factor of $1$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Solve the equation for $y$ .

Remove parentheses.

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

Multiply $2$ by $2$ .

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

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

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