Finite Math Examples

$f (3.5) = | {3.5}^{2} - 9 \cdot 3.5 + 7 |$

Step 1

Simplify each term.

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Step 1.1

Raise $3.5$ to the power of $2$ .

$f (3.5) = | 12.25 - 9 \cdot 3.5 + 7 |$

Step 1.2

Multiply $- 9$ by $3.5$ .

$f (3.5) = | 12.25 - 31.5 + 7 |$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Subtract $31.5$ from $12.25$ .

$f (3.5) = | - 19.25 + 7 |$

Step 2.2

Add $- 19.25$ and $7$ .

$f (3.5) = | - 12.25 |$

Step 3

The absolute value is the distance between a number and zero. The distance between $- 12.25$ and $0$ is $12.25$ .

$f (3.5) = 12.25$