Question

Given fx) = 17- x2, what is the average rate of change in f(x) over the interval [1, 5]?

Answer 1

Let [a, b] = the interval

The average rate of change can be found by using [f(b) - f(a)]/(b - a).

Let a = 1 and b = 5.

Let R = rate of change

17- x^2

R = [17 - 5^2] - [17 - 1^2]/(5 - 1)

R = [17 - 25] -[17 - 1]/4

R = [(-8) - (16)]/4

R = (-24)/4

R = -6

Done.

Answer 2

Answer: A. -6

Step-by-step explanation: