Find Three Ordered Pair Solutions f(x)=4(5)^x

$f (x) = 4 {(5)}^{x}$

Rewrite the function as an equation.

$y = 4 {(5)}^{x}$

Remove parentheses.

$y = 4 \cdot 5^{x}$

Choose any value for $x$ that is in the domain to plug into the equation.

Choose $0$ to substitute in for $x$ to find the ordered pair.

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Simplify $4 \cdot 5^{0}$ .

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Anything raised to $0$ is $1$ .

$y = 4 \cdot 1$

Multiply $4$ by $1$ .

$y = 4$

Use the $x$ and $y$ values to form the ordered pair.

$(0, 4)$

Choose $1$ to substitute in for $x$ to find the ordered pair.

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Simplify $4 \cdot 5^{1}$ .

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Evaluate the exponent.

$y = 4 \cdot 5$

Multiply $4$ by $5$ .

$y = 20$

Use the $x$ and $y$ values to form the ordered pair.

$(1, 20)$

Choose $2$ to substitute in for $x$ to find the ordered pair.

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Simplify $4 \cdot 5^{2}$ .

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

$y = 4 \cdot 25$

Multiply $4$ by $25$ .

$y = 100$

Use the $x$ and $y$ values to form the ordered pair.

$(2, 100)$

These are three possible solutions to the equation.

$(0, 4), (1, 20), (2, 100)$

Find Three Ordered Pair Solutions f(x)=4(5)^x

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