An elk population in a state park oscillates periodically as a function of time in months after January (so January is ). In January, the population is at its lowest, with only members. The population is at its highest in July, with members.

(a) What is the period of the population ?
period = months. help (numbers)

(b) What is the midline of the function ?
members. help (numbers)

(c) What is the amplitude of the function ?
amplitude = members. help (numbers)

(d) Consider the six possible graphs of below. Be sure to enlarge each graph and carefully read the labels on the axes in order distinguish the key features of each graph.

Which (if any) of the graphs A-F represents a possible graph of the population over two years?

A   B   C
D   E   F