Graph Using a Table of Values e^x

$e^{x}$

Step 1

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

$y = e^{- 2}$

Step 2

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

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

Step 3

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

$y = e^{- 1}$

Step 4

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

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

Step 5

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

$y = e^{0}$

Step 6

Anything raised to $0$ is $1$ .

$y = 1$

Step 7

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

$y = e^{1}$

Step 8

Simplify.

$y = e$

Step 9

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

$y = e^{2}$

Step 10

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

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

Step 11