If f (x) = |x + 8|, find f (-11).

19

-3

3

-19

2. If f (x) = |x - 5| + 3, find f (2).

4

11

0

6

1. f (-11) = 3.

2. f (2) = 6.

Step-by-step explanation:

Note the vertical lines around the x + 8 is the absolute value which is always positive.

f (x) = |x + 8| so f (-11) = |-11 + 8|

= |-3|

= 3 (answer).

If f (x) = |x - 5| + 3, find f (2).

f (2) = | 2 - 5| + 3

= |-3| + 3

= 3 + 3

= 6 (answer)

Step-by-step explanation:

1) Plug in the number to the equation

f (-11) = |-11 + 8|

= |-3|

absolute value makes it positive so the answer is 3

2) Plug in the number to the equation

f (2) = |2 - 5| + 3

do the absolute value before adding the 3

|-3| + 3 = 3 + 3

= 6