Police Calls The figure depicts the number of calls placed each hour since 2 A.M. to...

Police Calls The figure depicts the number of calls placed each hour since 2 A.M. to a sheriff ’s department.

a. Sketch a smooth curve through the scatter plot with no more inflection points than the number suggested by the scatter plot.

b. At what time(s) is the number of calls a minimum? A maximum?

c. Are there any other times when the graph appears to have a zero slope? If so, when?

d. Estimate the slope of your smooth curve at t = 4, t = 10 t = 18, and t = 20.

e. Use the information in parts a through d to sketch a graph depicting the rate of change of calls placed each hour. Label both axes.