A function is given. determine the average rate of change of the function between the given values of the variable. f (x) = 3 - x2; x = 2, x = 2 + h

Average rate of change is SLOPE: m = (y₂ - y₁) / (x₂ - x₁)

f (2) = 3 - (2) ²

= 3 - 4

= - 1

coordinate: (2, - 1)

f (2 + h) = 3 - (2 + h) ²

= 3 - (4 + 4h + h²)

= - h² - 4h - 1

coordinate: (2 + h, h² + 4h - 1)

m = (y₂ - y₁) / (x₂ - x₁) = (-1 - (h² - 4h - 1) / (2 - (2 + h)) = (-h² + 4h) / -h = h - 4

Answer: h - 4