Graph Using a Table of Values y=4*3^x

$y = 4 \cdot 3^{x}$

Step 1

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

$y = 4 \cdot 3^{- 2}$

Step 2

Simplify $4 \cdot 3^{- 2}$ .

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

$y = 4 \cdot \frac{1}{3^{2}}$

Raise $3$ to the power of $2$ .

$y = 4 \cdot \frac{1}{9}$

Combine $4$ and $\frac{1}{9}$ .

$y = \frac{4}{9}$

Step 3

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

$y = 4 \cdot 3^{- 1}$

Step 4

Simplify $4 \cdot 3^{- 1}$ .

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

$y = 4 \cdot \frac{1}{3}$

Combine $4$ and $\frac{1}{3}$ .

$y = \frac{4}{3}$

Step 5

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

$y = 4 \cdot 3^{0}$

Step 6

Simplify $4 \cdot 3^{0}$ .

Anything raised to $0$ is $1$ .

$y = 4 \cdot 1$

Multiply $4$ by $1$ .

$y = 4$

Step 7

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

$y = 4 \cdot 3^{1}$

Step 8

Simplify $4 \cdot 3^{1}$ .

Evaluate the exponent.

$y = 4 \cdot 3$

Multiply $4$ by $3$ .

$y = 12$

Step 9

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

$y = 4 \cdot 3^{2}$

Step 10

Simplify $4 \cdot 3^{2}$ .

Raise $3$ to the power of $2$ .

$y = 4 \cdot 9$

Multiply $4$ by $9$ .

$y = 36$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & \frac{4}{9} \\ - 1 & \frac{4}{3} \\ 0 & 4 \\ 1 & 12 \\ 2 & 36 \end{array}$

Step 12

Graph Using a Table of Values y=4*3^x

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