Algebra Examples

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

Step 1

Write $f (x) = 4 {(5)}^{x}$ as an equation.

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

Step 2

Remove parentheses.

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

Step 3

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

Step 4

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

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Step 4.1

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

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Step 4.1.1

Anything raised to $0$ is $1$ .

$y = 4 \cdot 1$

Step 4.1.2

Multiply $4$ by $1$ .

$y = 4$

Step 4.2

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

$(0, 4)$

Step 5

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

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Step 5.1

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

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Step 5.1.1

Evaluate the exponent.

$y = 4 \cdot 5$

Step 5.1.2

Multiply $4$ by $5$ .

$y = 20$

Step 5.2

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

$(1, 20)$

Step 6

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

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Step 6.1

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

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Step 6.1.1

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

$y = 4 \cdot 25$

Step 6.1.2

Multiply $4$ by $25$ .

$y = 100$

Step 6.2

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

$(2, 100)$

Step 7

These are three possible solutions to the equation.

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

Step 8