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Examples

f (x) = 3 x - 5

$f (x) = 3 x - 5$

Step 1

Write

f (x) = 3 x - 5

$f (x) = 3 x - 5$ as an equation.

y = 3 x - 5

$y = 3 x - 5$

Step 2

Choose any value for

x

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

Step 3

Choose

0

$0$ to substitute in for

x

$x$ to find the ordered pair.

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Step 3.1

Remove parentheses.

y = 3 (0) - 5

$y = 3 (0) - 5$

Step 3.2

Simplify

3 (0) - 5

$3 (0) - 5$ .

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Step 3.2.1

Multiply

3

$3$ by

0

$0$ .

y = 0 - 5

$y = 0 - 5$

Step 3.2.2

Subtract

5

$5$ from

0

$0$ .

y = - 5

$y = - 5$

y = - 5

$y = - 5$

Step 3.3

Use the

x

$x$ and

y

$y$ values to form the ordered pair.

(0, - 5)

$(0, - 5)$

(0, - 5)

$(0, - 5)$

Step 4

Choose

1

$1$ to substitute in for

x

$x$ to find the ordered pair.

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Step 4.1

Remove parentheses.

y = 3 (1) - 5

$y = 3 (1) - 5$

Step 4.2

Simplify

3 (1) - 5

$3 (1) - 5$ .

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Step 4.2.1

Multiply

3

$3$ by

1

$1$ .

y = 3 - 5

$y = 3 - 5$

Step 4.2.2

Subtract

5

$5$ from

3

$3$ .

y = - 2

$y = - 2$

y = - 2

$y = - 2$

Step 4.3

Use the

x

$x$ and

y

$y$ values to form the ordered pair.

(1, - 2)

$(1, - 2)$

(1, - 2)

$(1, - 2)$

Step 5

Choose

2

$2$ to substitute in for

x

$x$ to find the ordered pair.

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Step 5.1

Remove parentheses.

y = 3 (2) - 5

$y = 3 (2) - 5$

Step 5.2

Simplify

3 (2) - 5

$3 (2) - 5$ .

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Step 5.2.1

Multiply

3

$3$ by

2

$2$ .

y = 6 - 5

$y = 6 - 5$

Step 5.2.2

Subtract

5

$5$ from

6

$6$ .

y = 1

$y = 1$

y = 1

$y = 1$

Step 5.3

Use the

x

$x$ and

y

$y$ values to form the ordered pair.

(2, 1)

$(2, 1)$

(2, 1)

$(2, 1)$

Step 6

These are three possible solutions to the equation.

(0, - 5), (1, - 2), (2, 1)

$(0, - 5), (1, - 2), (2, 1)$

Step 7

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⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$