Advanced Math practice question

Answer: 7

Average rate of change = (f(5) − f(2))/(5 − 2) = (25 − 4)/3 = 21/3 = 7.

Common wrong answers

If you answered 3

3 is the change in x, not the rate.

If you answered 10

10 is the instantaneous rate at x = 5 (2 × 5), not the average over the interval.

If you answered 21

21 is the total change in f, not the rate; divide by the change in x, which is 3.

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