contestada

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?​

Respuesta :

mhanifa

Answer:

  • -64
  • -256

Step-by-step 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