Deer and predators: By banding deer over a period of 10 yr, a capture-and-release project...

Deer and predators: By banding deer over a period of 10 yr, a capture-and-release project determines the number of deer per square mile in the Mark Twain National Forest can be modeled by the function, where p is the number of predators present and D is the number of deer. Use this model to answer the following.

a. As the number of predators increases, what will happen to the population of deer? Evaluate the function at D(1), D(3), and D(5) to verify.

b. What happens to the deer population if the number of predators becomes very large?

c. Graph the function using an appropriate scale. Judging from the graph, use mathematical notation to describe what happens to the deer population if the number of predators becomes very small (less than 1 per square mile).