By definition, the average change of rate is given by:
We will calculate AVR for each of the functions. We have then:
f(x) = x^2 + 3x interval: [-2, 3]:
f(x) = 3x - 8 interval: [4, 5]:
f(x) = x^2 - 2x interval: [-3, 4]
f(x) = x^2 - 5 interval: [-1, 1]
Answer: these functions from the greatest to the least value based on the average rate of change are: f(x) = x^2 + 3x f(x) = 3x - 8 f(x) = x^2 - 5 f(x) = x^2 - 2x