represents the number of tourists in thousands.

The function is

,

where , represents the month, corresponds with May 1st.

(a) Graph the equation,

.

(b)

Locate the absolute maximum point in the graph.

Observe the graph: Absolute maximum is at .

Since the domain of the function is , the fact that the curve appears to be increasing on   is irrelevant.

.

The peak occurs months after May 1st, or some time late in July.

The number of tourists reach absolute maximum in July.

(c) Locate the relative maximum point in the graph.

Observe the graph: Relative maximum is at .

Since the domain of the function is , the fact that the curve appears to be increasing on   is irrelevant.

.

The peak occurs months after May 1st, or some time in mid-December.

In July the number of tourists reach  relative maximum in December.

(a) Graph of the equation:

.

(b) July

(c) December.