Question

F(x)=-8x^2

g(x)=-32x^2
-5≤x≤-3
What is the average rate of change of f(x) over -5≤x≤-3? What is the average rate of change of g(x) over -5≤x≤-3?​

Answer 1

• -64
• -256

Explanation:

Given functions:

• f(x)=-8x^2
• g(x)=-32x^2

Domain interval

• -5≤x≤-3

Rate of change, f(x)=-8x^2

• f(-5) = 8*(-5)^2 = 200
• f(-3) = 8*(-3)^2 = 72
• (72-200)/(-3+5) = -128/2 = -64

Rate of change, g(x)=-32x^2

• g(-5) = 32*(-5)^2 = 800
• g(-3) = 32*(-3)^2 = 288
• (288-800)/(-3+5) = -512/2 = -256