Graph Using a Table of Values y=f(x)

$y = f (x)$

Step 1

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

$y = f (- 2)$

Step 2

Solve the equation for $y$ .

Remove parentheses.

$y = f (- 2)$

Move $- 2$ to the left of $f$ .

$y = - 2 f$

Step 3

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

$y = f (- 1)$

Step 4

Solve the equation for $y$ .

Remove parentheses.

$y = f (- 1)$

Simplify $f (- 1)$ .

Move $- 1$ to the left of $f$ .

$y = - 1 f$

Rewrite $- 1 f$ as $- f$ .

$y = - f$

Step 5

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

$y = f (0)$

Step 6

Solve the equation for $y$ .

Remove parentheses.

$y = f (0)$

Multiply $f$ by $0$ .

$y = 0$

Step 7

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

$y = f (1)$

Step 8

Solve the equation for $y$ .

Remove parentheses.

$y = f (1)$

Multiply $f$ by $1$ .

$y = f$

Step 9

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

$y = f (2)$

Step 10

Solve the equation for $y$ .

Remove parentheses.

$y = f (2)$

Move $2$ to the left of $f$ .

$y = 2 f$

Step 11

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

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

Step 12

Graph Using a Table of Values y=f(x)

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