Balance of nature:A marine biology research group finds that in a certain reef area, the n...

Balance of nature:A marine biology research group finds that in a certain reef area, the number of fish present depends on the number of sharks in the area. The relationship can be modeled by the function , where F(s) is the fish population when s sharks are present.

a. As the number of sharks increases, what will happen to the population of fish? Evaluate the function at F(10), F(50), and F(200) to verify.

b. What happens to the fish population if the number of sharks becomes very large?

c. Graph the function using an appropriate scale. Judging from the graph, use mathematical notation to describe what happens to the fish population if the number of sharks becomes very small.