compute the average rate of change of the function f(x)=(the square root of)4x+8 as it moves from x1=-2 to x2=7

Question

compute the average rate of change of the function f(x)=(the square root of)4x+8 as it moves from x1=-2 to x2=7

Answer 1

The average rate of change is

 

[f(x₂) - f(x₁)] / (x₂ - x₁)

 

 

where:

x₁ = -2

x₂ = 7

 

 

[√(4(7) + 8) - √(4(-2) + 8)] / (7 - (-2)) =

 

[√(36) - √(0)] / 9 =

 

6 / 9 =

 

2 / 3