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(*iri'r) Let a, h, and k be arbitrary real numbers with a. % 0, and let 1' be the function defined as f(9:) = (1(1): h.)2 + k. Which of the following statements are true about 1"? Select all that apply. 0 A. The maximum value of ax) is h. D B. An extreme value occurs at the point (h, k). C) C. The function has an inflection point at :1: : h. C) D. If a > 0, then f has a global maximum. O E. The graph of y 2 at) is a line, C) F. If a > 0, then f has a global minimum. O G. The graph of y = f(a:) is a parabola. O H. The function has a critical point at 2 = h. D I. None of the above 1 L = (t'k'ki'k) ety 12+2 and decreasing most rapidly. . Find the values of :n for which 3; is increasing most rapidly, You may use the following derivatives: 2w 2(3a:2 2) 21%) = 2, and We) = 3 (m2 + 2) (m2 + 2) m = is where y is increasmg most rapidly. x = is where y is decreasing most rapidly. (*i'shfr) The figure below gives the behavior of the derivative of a function 9(2) on 2 S a: S 2. Notice that no scale is given on the yaxis on the graph. Graph of g'(a:) (Click on the graph to get a larger version.) (a) At what wvalues does the graph of 9(2) have inflection points? E a; : I (Enter your answer as a comma-separated list of values, or enter none if there are none.) (b) What mvalues give the global maxima and minima of g on [~2, 2]? ' ' minimum at a: = > maXImum at a: = (c) If g(2) = 1, what are possible values for 9(0)? E g(0) is in I (Enter your answer as an interval, or union of intervals, giving the possible values. Thus if you know 4 , etc.)