Tamika finds an expression for S(r) that gives the surface area in square inches of a cylindrical can with a specific fixed volume in terms of its radius r in inches. Shown is the graph Tamika gets if she allows r to take on any value between -1 and 5. Part A: What would be a more appropriate domain for Tamika to use instead?

Part B: What is the approximate minimum surface area for the can?

Part C: Consider the intervals shown.
I. 16 < y < 60

II. 0 < x < ∞

III. (1, ∞)

IV. (-60, 0)

V. (2, 3)
Which interval for the function S(r) represents an increase in the surface area?

A.

I and IV
B.

III and V
C.

I, II, and IV
D.

II, III, and V