# How do you evaluate the function f(x)=absx-5 for f(-6)?

Jan 15, 2017

$1$

#### Explanation:

The $\textcolor{b l u e}{\text{absolute value}}$ is always positive. This is because it is a measure of how far a value is from zero.

$\Rightarrow | - 4 | = | 4 | = 4$ since both - 4 and 4 are 4 units from zero.

$f \left(x\right) = | x | - 5$

$\Rightarrow f \left(\textcolor{red}{- 6}\right) = | \textcolor{red}{- 6} | - 5$

$= 6 - 5 = 1$