Question

The table below shows the function f. x 1 2 3 4 5 f(x) -63 -44 ? -6 13 Determine the value of f(3) that will lead to an average rate of change of 19 over the interval [3, 5]. A. 32 B. 25 C. -25 D. -32

Answer 1

C. -25

Explanation:

x 1 2 3 4 5

f(x) -63 -44 ? -6 13

Rate of change : (-44 + 63)/(2 - 1) = 19

so

-63 + 19 = -44

- 44 + 19 = -25

- 25 + 19 = -6

- 6 + 19 = 13

Answer: f(3) = -25