Determine net change and average rate of change

Question

A function is given.

          6

f(t) = ___ ; t = a, t = a + h

          t         
(a) Determine the net change between the given values of the variable.



(b) Determine the average rate of change between the given values of the variable.

Answer 1

(a)

[6 / (a + h)] - [6 / a]

[6a - 6(a + h)] / [a(a + h)

[6a - 6a - 6h] / [a² + ah]

-6h / [a² + ah]

(b)

[-6h / (a² + ah)] / h

-6 / (a² + ah)