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

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

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

$y = b^{- 2}$

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

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

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

$y = b^{- 1}$

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

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

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

$y = b^{0}$

Anything raised to $0$ is $1$ .

$y = 1$

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

$y = b^{1}$

Simplify.

$y = b$

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

$y = b^{2}$

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

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