Graph Using a Table of Values f(x)=-(4/5)^x

$f (x) = - {(\frac{4}{5})}^{x}$

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

$y = - {(\frac{4}{5})}^{- 2}$

Solve the equation for $y$ .

Remove parentheses.

$y = - {(\frac{4}{5})}^{- 2}$

Simplify $- {(\frac{4}{5})}^{- 2}$ .

Change the sign of the exponent by rewriting the base as its reciprocal.

$y = - {(\frac{5}{4})}^{2}$

Apply the product rule to $\frac{5}{4}$ .

$y = - \frac{5^{2}}{4^{2}}$

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

$y = - \frac{25}{4^{2}}$

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

$y = - \frac{25}{16}$

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

$y = - {(\frac{4}{5})}^{- 1}$

Solve the equation for $y$ .

Remove parentheses.

$y = - {(\frac{4}{5})}^{- 1}$

Change the sign of the exponent by rewriting the base as its reciprocal.

$y = - \frac{5}{4}$

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

$y = - {(\frac{4}{5})}^{0}$

Solve the equation for $y$ .

Remove parentheses.

$y = - {(\frac{4}{5})}^{0}$

Simplify $- {(\frac{4}{5})}^{0}$ .

Simplify the expression.

Apply the product rule to $\frac{4}{5}$ .

$y = - \frac{4^{0}}{5^{0}}$

Anything raised to $0$ is $1$ .

$y = - \frac{1}{5^{0}}$

Anything raised to $0$ is $1$ .

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

Cancel the common factor of $1$ .

Cancel the common factor.

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

Rewrite the expression.

$y = - 1 \cdot 1$

Multiply $- 1$ by $1$ .

$y = - 1$

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

$y = - {(\frac{4}{5})}^{1}$

Solve the equation for $y$ .

Remove parentheses.

$y = - (\frac{4}{5})$

Multiply $- 1$ by $\frac{4}{5}$ .

$y = - \frac{4}{5}$

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

$y = - {(\frac{4}{5})}^{2}$

Solve the equation for $y$ .

Remove parentheses.

$y = - {(\frac{4}{5})}^{2}$

Simplify $- {(\frac{4}{5})}^{2}$ .

Apply the product rule to $\frac{4}{5}$ .

$y = - \frac{4^{2}}{5^{2}}$

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

$y = - \frac{16}{5^{2}}$

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

$y = - \frac{16}{25}$

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

$\begin{array}{c} x & y \\ - 2 & - \frac{25}{16} \\ - 1 & - \frac{5}{4} \\ 0 & - 1 \\ 1 & - \frac{4}{5} \\ 2 & - \frac{16}{25} \end{array}$

Graph Using a Table of Values f(x)=-(4/5)^x

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