Question

What is the average rate of change of f(x), represented by the table of values, over the interval [-3,4]

Answer 1

Average rate of change = 3

Explanation:

• We know that the average rate of change is basically a measure of the slope of the secant line in the closed interval [a, b].

here a = -3 and b = 4

• f(b) = f(4) = 27

• f(a) = f(-3) = 6

⇒ Average rate of change = f(b) - f(a) / b - a

= (27 - 6) / (4 - (-3))

= 21 / 7

= 3

Therefore, Average rate of change = 3