Graph Using a Table of Values y=1.5^x

$y = {1.5}^{x}$

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

$y = {1.5}^{- 2}$

Simplify ${1.5}^{- 2}$ .

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

$y = \frac{1}{{1.5}^{2}}$

Raise $1.5$ to the power of $2$ .

$y = \frac{1}{2.25}$

Divide $1$ by $2.25$ .

$y = 0.\overline{4}$

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

$y = {1.5}^{- 1}$

Simplify ${1.5}^{- 1}$ .

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

$y = \frac{1}{1.5}$

Divide $1$ by $1.5$ .

$y = 0.\overline{6}$

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

$y = {1.5}^{0}$

Anything raised to $0$ is $1$ .

$y = 1$

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

$y = {1.5}^{1}$

Evaluate the exponent.

$y = 1.5$

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

$y = {1.5}^{2}$

Raise $1.5$ to the power of $2$ .

$y = 2.25$

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

$\begin{array}{c} x & y \\ - 2 & 0.\overline{4} \\ - 1 & 0.\overline{6} \\ 0 & 1 \\ 1 & 1.5 \\ 2 & 2.25 \end{array}$