Finite Math Examples

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

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

Step 1

Write

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

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

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

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

Step 2

Combine

\frac{1}{2}

$\frac{1}{2}$ and

x

$x$ .

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

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

Step 3

Choose any value for

x

$x$ that is in the domain to plug into the equation.

Step 4

Choose

0

$0$ to substitute in for

x

$x$ to find the ordered pair.

Tap for more steps...

Step 4.1

Remove parentheses.

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

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

Step 4.2

Simplify

\frac{0}{2} + 4

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

Tap for more steps...

Step 4.2.1

Divide

0

$0$ by

2

$2$ .

y = 0 + 4

$y = 0 + 4$

Step 4.2.2

Add

0

$0$ and

4

$4$ .

y = 4

$y = 4$

y = 4

$y = 4$

Step 4.3

Use the

x

$x$ and

y

$y$ values to form the ordered pair.

(0, 4)

$(0, 4)$

(0, 4)

$(0, 4)$

Step 5

Choose

1

$1$ to substitute in for

x

$x$ to find the ordered pair.

Tap for more steps...

Step 5.1

Remove parentheses.

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

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

Step 5.2

Simplify

\frac{1}{2} + 4

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

Tap for more steps...

Step 5.2.1

To write

4

$4$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

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

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

Step 5.2.2

Combine

4

$4$ and

\frac{2}{2}

$\frac{2}{2}$ .

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

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

Step 5.2.4

Simplify the numerator.

Tap for more steps...

Step 5.2.4.1

Multiply

4

$4$ by

2

$2$ .

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

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

Step 5.2.4.2

Add

1

$1$ and

8

$8$ .

y = \frac{9}{2}

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

y = \frac{9}{2}

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

y = \frac{9}{2}

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

Step 5.3

Use the

x

$x$ and

y

$y$ values to form the ordered pair.

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

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

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

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

Step 6

Choose

2

$2$ to substitute in for

x

$x$ to find the ordered pair.

Tap for more steps...

Step 6.1

Remove parentheses.

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

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

Step 6.2

Simplify

\frac{2}{2} + 4

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

Tap for more steps...

Step 6.2.1

Divide

2

$2$ by

2

$2$ .

y = 1 + 4

$y = 1 + 4$

Step 6.2.2

Add

1

$1$ and

4

$4$ .

y = 5

$y = 5$

y = 5

$y = 5$

Step 6.3

Use the

x

$x$ and

y

$y$ values to form the ordered pair.

(2, 5)

$(2, 5)$

(2, 5)

$(2, 5)$

Step 7

These are three possible solutions to the equation.

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

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

Step 8