Math 118 Worksheet 7 Name: (Covers 4.2-4.5) 1. Consider the following graph: 15 10 -5 a. Where are the inflection points of f (x) if the graph shows the function f"(x)? b. Where are the inflection points of f (x) if the graph shows the function f'(x)? c. Where are the inflection points of f (x) if the graph shows the function f (x)?2. Find the (x, y)coordinates of the global extrema of the function f (x) = 3x4 + 8x3 + 6x2+6or1sxs. 3. A manufacturing process has marginal costs shown in the table below. The item sells for $45 per unit. Approximately how much q should the company produce in order to maximize its prot? Use a secant line to nd two answers: the exact value of q that maximizes prot (if we had a liquid product, for example), and round q to the nearest reasonable integer (discrete units of product). (units) 5 1015 20 25 30