Graph Using a Table of Values f(x)=4^(x-1)

$f (x) = 4^{x - 1}$

Step 1

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

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

Step 2

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

Subtract $1$ from $- 2$ .

$y = 4^{- 3}$

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

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

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

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

Step 3

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

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

Step 4

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

Subtract $1$ from $- 1$ .

$y = 4^{- 2}$

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

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

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

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

Step 5

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

$y = 4^{(0) - 1}$

Step 6

Simplify $4^{(0) - 1}$ .

Subtract $1$ from $0$ .

$y = 4^{- 1}$

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

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

Step 7

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

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

Step 8

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

Subtract $1$ from $1$ .

$y = 4^{0}$

Anything raised to $0$ is $1$ .

$y = 1$

Step 9

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

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

Step 10

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

Subtract $1$ from $2$ .

$y = 4^{1}$

Evaluate the exponent.

$y = 4$

Step 11

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

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

Step 12

Graph Using a Table of Values f(x)=4^(x-1)

Related Questions

Support LCMGCF.com by disabling your adblocker.