Evaluate Using the Given Value f(-6)=-2|-6^2-10|-1

$f (- 6) = - 2 | - 6^{2} - 10 | - 1$

Step 1

Simplify each term.

Raise $6$ to the power of $2$ .

$f (- 6) = - 2 | - 1 \cdot 36 - 10 | - 1$

Multiply $- 1$ by $36$ .

$f (- 6) = - 2 | - 36 - 10 | - 1$

Subtract $10$ from $- 36$ .

$f (- 6) = - 2 | - 46 | - 1$

The absolute value is the distance between a number and zero. The distance between $- 46$ and $0$ is $46$ .

$f (- 6) = - 2 \cdot 46 - 1$

Multiply $- 2$ by $46$ .

$f (- 6) = - 92 - 1$

Step 2

Subtract $1$ from $- 92$ .

$f (- 6) = - 93$