Question

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

Answer 1

`1`

Explanation:

The `color(blue)"absolute value"` is always positive. This is because it is a measure of how far a value is from zero.

`rArr|-4|=|4|=4` since both - 4 and 4 are 4 units from zero.

`f(x)=|x|-5`

`rArrf(color(red)(-6))=|color(red)(-6)|-5`

`=6-5=1`