Answer:
The average rate of change = 4
Step-by-step explanation:
Given the function
[tex]f\left(x\right)\:=\:2x^2\:-\:4[/tex]
x₁=-2, x₂=4
f(x₁) = f(-2) = 2x²-4 = 2(-2)²-4 = 8-4 = 4
f(x₂) = f(4) = 2x²-4 = 2(4)²-4 = 32-4 = 28
The average rate of change = f(x₂) - f(x₁) / x₂ - x₁
= (28-4)/(4-(-2))
= 24/6
= 4
Thus, the average rate of change = 4
