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The function ...
... g = |x| + 1
will map any integer x into the set of positive integers g.
Answer:
-12
Step-by-step explanation:
Let b = -1 and a = -3
The average rate of change = 
f(b) = f(-1) = 3(-1)^2 - 5 = 3 - 5 = -2
f(a) = f(-3) = 3(-3)^2 - 5 =27 - 5 = 22
f(b) - f(a) = -2 - 22 = -24
b - a = -1 + 3 = 2
= -24/2 = -12