Graph Using a Table of Values f(x)=1/8*4^(x+1)

$f (x) = \frac{1}{8} \cdot 4^{x + 1}$

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

$y = \frac{1}{8} \cdot 4^{(- 2) + 1}$

Simplify $\frac{1}{8} \cdot 4^{(- 2) + 1}$ .

Add $- 2$ and $1$ .

$y = \frac{1}{8} \cdot 4^{- 1}$

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

$y = \frac{1}{8} \cdot \frac{1}{4}$

Multiply $\frac{1}{8} \cdot \frac{1}{4}$ .

Multiply $\frac{1}{8}$ by $\frac{1}{4}$ .

$y = \frac{1}{8 \cdot 4}$

Multiply $8$ by $4$ .

$y = \frac{1}{32}$

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

$y = \frac{1}{8} \cdot 4^{(- 1) + 1}$

Simplify $\frac{1}{8} \cdot 4^{(- 1) + 1}$ .

Add $- 1$ and $1$ .

$y = \frac{1}{8} \cdot 4^{0}$

Anything raised to $0$ is $1$ .

$y = \frac{1}{8} \cdot 1$

Multiply $\frac{1}{8}$ by $1$ .

$y = \frac{1}{8}$

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

$y = \frac{1}{8} \cdot 4^{(0) + 1}$

Simplify $\frac{1}{8} \cdot 4^{(0) + 1}$ .

Add $0$ and $1$ .

$y = \frac{1}{8} \cdot 4^{1}$

Evaluate the exponent.

$y = \frac{1}{8} \cdot 4$

Cancel the common factor of $4$ .

Factor $4$ out of $8$ .

$y = \frac{1}{4 (2)} \cdot 4$

Cancel the common factor.

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

Rewrite the expression.

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

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

$y = \frac{1}{8} \cdot 4^{(1) + 1}$

Simplify $\frac{1}{8} \cdot 4^{(1) + 1}$ .

Simplify the expression.

Add $1$ and $1$ .

$y = \frac{1}{8} \cdot 4^{2}$

Raise $4$ to the power of $2$ .

$y = \frac{1}{8} \cdot 16$

Cancel the common factor of $8$ .

Factor $8$ out of $16$ .

$y = \frac{1}{8} \cdot (8 (2))$

Cancel the common factor.

$y = \frac{1}{8} \cdot (8 \cdot 2)$

Rewrite the expression.

$y = 2$

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

$y = \frac{1}{8} \cdot 4^{(2) + 1}$

Simplify $\frac{1}{8} \cdot 4^{(2) + 1}$ .

Simplify the expression.

Add $2$ and $1$ .

$y = \frac{1}{8} \cdot 4^{3}$

Raise $4$ to the power of $3$ .

$y = \frac{1}{8} \cdot 64$

Cancel the common factor of $8$ .

Factor $8$ out of $64$ .

$y = \frac{1}{8} \cdot (8 (8))$

Cancel the common factor.

$y = \frac{1}{8} \cdot (8 \cdot 8)$

Rewrite the expression.

$y = 8$

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

$\begin{array}{c} x & y \\ - 2 & \frac{1}{32} \\ - 1 & \frac{1}{8} \\ 0 & \frac{1}{2} \\ 1 & 2 \\ 2 & 8 \end{array}$

Graph Using a Table of Values f(x)=1/8*4^(x+1)

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