Finite Math Examples

$f (x) = \frac{1}{2} x + 4$

Step 1

Write $f (x) = \frac{1}{2} x + 4$ as an equation.

$y = \frac{1}{2} x + 4$

Step 2

Combine $\frac{1}{2}$ and $x$ .

$y = \frac{x}{2} + 4$

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

Remove parentheses.

$y = \frac{0}{2} + 4$

Step 4.2

Simplify $\frac{0}{2} + 4$ .

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Step 4.2.1

Divide $0$ by $2$ .

$y = 0 + 4$

Step 4.2.2

Add $0$ and $4$ .

$y = 4$

Step 4.3

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

Remove parentheses.

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

Step 5.2

Simplify $\frac{1}{2} + 4$ .

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Step 5.2.1

To write $4$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$y = \frac{1}{2} + 4 \cdot \frac{2}{2}$

Step 5.2.2

Combine $4$ and $\frac{2}{2}$ .

$y = \frac{1}{2} + \frac{4 \cdot 2}{2}$

Step 5.2.3

Combine the numerators over the common denominator.

$y = \frac{1 + 4 \cdot 2}{2}$

Step 5.2.4

Simplify the numerator.

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Step 5.2.4.1

Multiply $4$ by $2$ .

$y = \frac{1 + 8}{2}$

Step 5.2.4.2

Add $1$ and $8$ .

$y = \frac{9}{2}$

Step 5.3

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

$(1, \frac{9}{2})$

Step 6

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

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Step 6.1

Remove parentheses.

$y = \frac{2}{2} + 4$

Step 6.2

Simplify $\frac{2}{2} + 4$ .

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Step 6.2.1

Divide $2$ by $2$ .

$y = 1 + 4$

Step 6.2.2

Add $1$ and $4$ .

$y = 5$

Step 6.3

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

$(2, 5)$

Step 7

These are three possible solutions to the equation.

$(0, 4), (1, \frac{9}{2}), (2, 5)$

Step 8