Precalculus Examples

$f (x) = 3 x - 5$

Step 1

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

$y = 3 x - 5$

Step 2

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

Step 3

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

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Step 3.1

Remove parentheses.

$y = 3 (0) - 5$

Step 3.2

Simplify $3 (0) - 5$ .

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Step 3.2.1

Multiply $3$ by $0$ .

$y = 0 - 5$

Step 3.2.2

Subtract $5$ from $0$ .

$y = - 5$

Step 3.3

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

$(0, - 5)$

Step 4

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

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Step 4.1

Remove parentheses.

$y = 3 (1) - 5$

Step 4.2

Simplify $3 (1) - 5$ .

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Step 4.2.1

Multiply $3$ by $1$ .

$y = 3 - 5$

Step 4.2.2

Subtract $5$ from $3$ .

$y = - 2$

Step 4.3

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

$(1, - 2)$

Step 5

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

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Step 5.1

Remove parentheses.

$y = 3 (2) - 5$

Step 5.2

Simplify $3 (2) - 5$ .

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Step 5.2.1

Multiply $3$ by $2$ .

$y = 6 - 5$

Step 5.2.2

Subtract $5$ from $6$ .

$y = 1$

Step 5.3

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

$(2, 1)$

Step 6

These are three possible solutions to the equation.

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

Step 7