Graph Using a Table of Values f(x)=7^x

$f (x) = 7^{x}$

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

$y = 7^{- 2}$

Simplify $7^{- 2}$ .

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$y = \frac{1}{7^{2}}$

Raise $7$ to the power of $2$ .

$y = \frac{1}{49}$

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

$y = 7^{- 1}$

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$y = \frac{1}{7}$

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

$y = 7^{0}$

Anything raised to $0$ is $1$ .

$y = 1$

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

$y = 7^{1}$

Evaluate the exponent.

$y = 7$

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

$y = 7^{2}$

Raise $7$ to the power of $2$ .

$y = 49$

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

$\begin{array}{c} x & y \\ - 2 & \frac{1}{49} \\ - 1 & \frac{1}{7} \\ 0 & 1 \\ 1 & 7 \\ 2 & 49 \end{array}$