Graph Using a Table of Values f(x)=2^(x-4)

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

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

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

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

Subtract $4$ from $- 2$ .

$y = 2^{- 6}$

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

$y = \frac{1}{2^{6}}$

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

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

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

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

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

Subtract $4$ from $- 1$ .

$y = 2^{- 5}$

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

$y = \frac{1}{2^{5}}$

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

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

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

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

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

Subtract $4$ from $0$ .

$y = 2^{- 4}$

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

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

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

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

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

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

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

Subtract $4$ from $1$ .

$y = 2^{- 3}$

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

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

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

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

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

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

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

Subtract $4$ from $2$ .

$y = 2^{- 2}$

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

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

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

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

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

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

Graph Using a Table of Values f(x)=2^(x-4)

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