Evaluate Using the Given Value f(18)=3|18-2|+6

$f (18) = 3 | 18 - 2 | + 6$

Step 1

Simplify each term.

Subtract $2$ from $18$ .

$f (18) = 3 | 16 | + 6$

The absolute value is the distance between a number and zero. The distance between $0$ and $16$ is $16$ .

$f (18) = 3 \cdot 16 + 6$

Multiply $3$ by $16$ .

$f (18) = 48 + 6$

Step 2

Add $48$ and $6$ .

$f (18) = 54$