3 2-
-5-4-3-2
4 5
-5+
The figure above shows the graph of f', the derivative of a twice-differentiable function f, on the interval
[-3, 4]. Answer the following questions based on the graph of f".
a) Find all x-coordinates at which f has a relative minimum. Justify your answer.
b) On what open intervals contained in 1-3, 4) is the graph of f both concave up and decreasing?
Justify your answer.
c) Find the x-coordinates of all points of inflection on the graph off.
d) What is the average rate of change of f'between x = 0 and x = 3?

The krasnapolski is a top-of-the-line hotel in amsterdam, the netherlands. among their many services, they rent bicycles to guests. the bicycle checkout is open 24 hours per day 7 days per week and has 50 bicycles on hand. on average, 10 guests request a bicycle each day, arriving completely randomly at all times of the day during the spring and summer seasons. guests keep bicycles for four days on average, with a standard deviation of two days. how long does a guest on average have to wait for a bike? a. approximately 24 hours b. approximately 0.033 hours c. approximately 4 days d. approximately 47 minutes