PS4: Problem 15 Previous Problem Problem List Next Problem (1 point) Suppose that f(x) = 4x \\4x2 + 2 (A) Find all critical numbers of f. If there are no critical numbers, enter -1000. If there are more than one, enter them separated by commas. Critical number(s) = (B) Use interval notation to indicate where f (@) is strictly increasing. Note: When using interval notation in WeBWork, you use I for oo, -| for -oo, and U for the union symbol. If there are no values that satisfy the required condition, then enter "(" without the quotation marks. strictly increasing: (C) Use interval notation to indicate where f() is strictly decreasing. strictly decreasing:PS4: Problem 16 Previous Problem Problem List Next Problem (1 point) Determine the intervals on which the graph of the given function is strictly concave up or down and find the points of inflection. Let f(x) = (x2 -8) er @-coordinates of the inflection point(s) of f = The left-most interval is and on this interval the graph of f 2 The middle interval is and on this interval the graph of f is strictly concave down The right-most interval is and on this interval the graph of f is strictly concave upPS4: Problem 17 Previous Problem Problem List Next Problem (1 point) f ( I) = - 3 12 + 3 a) Find the first and second derivatives. f'(I) = f" (z) = b) Identify the graph that displays f in blue and f" in red. ? v A B. F c) Using the graphs of f and f", indicate where f is strictly convex/concave. Give your answer in the form of an interval. NOTE: When using interval notation in WeBWork, remember that: You use 'INF' for oo and "-INF' for -co. And use "U' for the union symbol. Enter DNE if an answer does not exist. f is strictly convex on f is strictly concave onPS4: Problem 18 Previous Problem Problem List Next Problem (1 point) Which function is shown in the following graph? a.) f(x) = Vx- 25 b.) f (x ) = Answer: (input a or b ) Note: You can click on the graph to make it larger