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

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

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

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

Solve the equation for $y$ .

Remove parentheses.

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

Remove parentheses.

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

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

Multiply $2$ by ${(2)}^{- 2}$ by adding the exponents.

Multiply $2$ by ${(2)}^{- 2}$ .

Raise $2$ to the power of $1$ .

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

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$y = 2^{1 - 2}$

Subtract $2$ from $1$ .

$y = 2^{- 1}$

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

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

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

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

Solve the equation for $y$ .

Remove parentheses.

$y = 2 \cdot 2^{- 1}$

Remove parentheses.

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

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

Multiply $2$ by ${(2)}^{- 1}$ by adding the exponents.

Multiply $2$ by ${(2)}^{- 1}$ .

Raise $2$ to the power of $1$ .

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

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$y = 2^{1 - 1}$

Subtract $1$ from $1$ .

$y = 2^{0}$

Simplify $2^{0}$ .

$y = 1$

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

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

Solve the equation for $y$ .

Remove parentheses.

$y = 2 \cdot 2^{0}$

Remove parentheses.

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

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

Multiply $2$ by ${(2)}^{0}$ by adding the exponents.

Multiply $2$ by ${(2)}^{0}$ .

Raise $2$ to the power of $1$ .

$y = 2^{1} {(2)}^{0}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$y = 2^{1 + 0}$

Add $1$ and $0$ .

$y = 2^{1}$

Simplify $2^{1}$ .

$y = 2$

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

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

Solve the equation for $y$ .

Remove parentheses.

$y = 2 \cdot 2$

Remove parentheses.

$y = 2 (2)$

Multiply $2$ by $2$ .

$y = 4$

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

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

Solve the equation for $y$ .

Remove parentheses.

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

Remove parentheses.

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

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

Multiply $2$ by ${(2)}^{2}$ by adding the exponents.

Multiply $2$ by ${(2)}^{2}$ .

Raise $2$ to the power of $1$ .

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

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$y = 2^{1 + 2}$

Add $1$ and $2$ .

$y = 2^{3}$

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

$y = 8$

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

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

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

Related Questions

Support LCMGCF.com by disabling your adblocker.