Question

Help?

1. If f(x) = |x + 6|, find f(−10).

A. -16
B. 16
C. -4
D. 4

2. If f(x) = |x − 4| + 5, find f(1).

A. 8
B. 2
C. 0
D. 10

3. If f(x) = 8 − 3|x + 2|, find f(−6).

A. 20
B. -16
C. -4
D. 4

Answer 1

@hwtrain Help plz?

Answer 2

The absolute value operator essentially makes whatever is inside the vertical lines positive, regardless of its sign. For 1, we have f(-10) of f(x) = |x+6|, so we plug x=-10 into |x+6| to yield |-10+6| = |-4|. Because the absolute value turns everything inside it positive, the answer to question 1 is D) 4. We can take similar steps for question 2. |x-4| for x=1 is |1-4| = |-3| = 3, then add 5 to that to get A) 8. For question 3, |x+2| for x=-6 is |-6+2|=|-4|=4, then multiply by 3 to get 12, then subtract that from 8 to get C) -4.