Algebra Examples

$f (x) = 2^{x + 4}$

Step 1

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

$y = 2^{(- 2) + 4}$

Step 2

Simplify $2^{(- 2) + 4}$ .

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Step 2.1

Add $- 2$ and $4$ .

$y = 2^{2}$

Step 2.2

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

$y = 4$

Step 3

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

$y = 2^{(- 1) + 4}$

Step 4

Simplify $2^{(- 1) + 4}$ .

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Step 4.1

Add $- 1$ and $4$ .

$y = 2^{3}$

Step 4.2

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

$y = 8$

Step 5

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

$y = 2^{(0) + 4}$

Step 6

Simplify $2^{(0) + 4}$ .

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Step 6.1

Add $0$ and $4$ .

$y = 2^{4}$

Step 6.2

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

$y = 16$

Step 7

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

$y = 2^{(1) + 4}$

Step 8

Simplify $2^{(1) + 4}$ .

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Step 8.1

Add $1$ and $4$ .

$y = 2^{5}$

Step 8.2

Raise $2$ to the power of $5$ .

$y = 32$

Step 9

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

$y = 2^{(2) + 4}$

Step 10

Simplify $2^{(2) + 4}$ .

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Step 10.1

Add $2$ and $4$ .

$y = 2^{6}$

Step 10.2

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

$y = 64$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & 4 \\ - 1 & 8 \\ 0 & 16 \\ 1 & 32 \\ 2 & 64 \end{array}$

Step 12