Graph Using a Table of Values y=6^x

$y = 6^{x}$

Step 1

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

$y = 6^{- 2}$

Step 2

Simplify $6^{- 2}$ .

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

$y = \frac{1}{6^{2}}$

Raise $6$ to the power of $2$ .

$y = \frac{1}{36}$

Step 3

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

$y = 6^{- 1}$

Step 4

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

$y = \frac{1}{6}$

Step 5

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

$y = 6^{0}$

Step 6

Anything raised to $0$ is $1$ .

$y = 1$

Step 7

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

$y = 6^{1}$

Step 8

Evaluate the exponent.

$y = 6$

Step 9

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

$y = 6^{2}$

Step 10

Raise $6$ to the power of $2$ .

$y = 36$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & \frac{1}{36} \\ - 1 & \frac{1}{6} \\ 0 & 1 \\ 1 & 6 \\ 2 & 36 \end{array}$

Step 12