Question

Given the function g(x) = x^2 + 5x + 14, determine the average rate of change

of the function over the interval 1 < x < 7.

Answer 1

13

Explanation:

The average rate of change is

f(7) - f(1)

---------------

7-1

f(7) = 7^2 + 5*7 +14 = 49 +35 +14=98

f(1) = 1^2 +5(1)+14 = 1+5+14=20

98-20

--------

7-1

78/6

13