q5

A company estimates that it will sell N(x) units of a product after spending $x thousand on advertising, as given by N(X) = - 0.25x + 23x" - 540x" + 84,000, where 24 s x 45. When is the rate of change of sales increasing and when is it decreasing? What is the point of diminishing returns and the maximum rate of change of sales? Graph N and N' on the same coordinate system. The rate of change of sales is increasing on (Type your answer in interval notation.)Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f is concave downward, and the inflection points. f(x) = x" - 12x~ + 17x + 2 (lype your answer in interval notation. lype an exact answer. Use a comma to separate answers as needed.) O B. The graph is never concave upward. For what interval(s) of x is the graph of f concave downward? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. (-00,4) (Type your answer in interval notation. Type an exact answer. Use a comma to separate answers as needed.) O B. The graph is never concave downward. Determine the x, y coordinates of the inflection point of the graph of f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. (Type an ordered pair.)x} is continuous on [ omen). Use the given information to sketch the graph of f. i"{":'++I}----uo--- I.h '7 7' x -11 -? -3.5 [1 TI" 11 f"{x}___ _ _ +++a_ _ _ fix} 0 9 5.5 {14.1 5.5 -3.5 '.' Choose the correct graph off below. Use the graph of y = f'(x) to the right to discuss the graph of y = f(x). Organize your conclusions in a table, and sketch a possible graph of y = f(x). Determine how the properties on different intervals off (x) affect f(x). Complete the table below. X f'(x) f(x) - 00