Part A

Describe a relationship modeled by the function f(x) = 4x3 − 72x2 + 320x, and explain how the function models the relationship.

Part B
Identify and interpret the key features of the function in the context of the situation described in part A.

Consider the integral: 4 0 16 − y2 − 16 − y2 4 1 x2 + y2 dz dx dy . (a) describe w. use the standard view of the x, y, and z axes. front half of a cone with a rounded top. full cone with a flat top. right half of a cone with a flat top. front half of a cone with a flat top. right half of a cone with a rounded top.

Let f(x) = 3 − x . find the average rate of change of f(x) from x = a to x = a + h and simplify your answer so that no single factor of h is left in the denominator.

What is the effect on the graph of the function f(x) = x2 when f(x) is changed to f(x) − 4?