Question

The graph below plots a function f(x):

Answer 1

By definition we have that the average rate of change of the function is given by:
 $AVR = \frac{f(x2) - f(x1)}{x2 - x1}$
 Substituting values we have:
 $AVR = \frac{100 - 50}{2 - 0}$
 Rewriting we have:
 $AVR = \frac{50}{2}$
 $AVR = 25$
 Answer:
 If x represents time, the average rate of change of the function f(x) in the first two seconds is 25.