Answer:
20. f(4) = 5
21. f(-6) = -6
22. f(0) = 0
23. f(-5) = -5
Step-by-step explanation:
The function is defined differently depending on the interval that x is in.
If x < -6, then f(x) = -2x^2 - 1. Definition A.
If -6 <= x <= 0, then f(x) = x. Definition B.
If x > 0, then f(x) = x + 1. Definition C.
For each value of the function you are asked to find in questions 20 through 23, the first thing to do is to see in which interval x is. Then you decide which function definition to use.
20. f(4)
4 is in the interval of Definition C.
f(x) = x + 1
f(4) = 4 + 1
f(4) = 5
21. f(-6)
-6 is in the interval of definition B.
f(x) = x
f(-6) = -6
22. f(0)
0 is in the interval of definition B.
f(x) = x
f(0) = 0
23. f(-5)
-5 is in the interval of definition B.
f(x) = x
f(-5) = -5
