y = f'(x) 27. The graph of f', the derivative of the function f, is shown in the figure above. Which of the following statements must be true? I. fis continuous on the open interval (a, b). II. fis decreasing on the open interval (a, b). III. The graph of f is concave down on the open interval (a, b). (A) Ionly (B) I and II only (C) I and III only (D) II and III only

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Q4 A function y = f(t) is defined and continuous for all real numbers t on the closed interval [-2.5, 6.5]. The first derivative, y'= f'(t) is sketched below. For each question, give a short and brief explanation. -2 -1 2 -1+ -2+ y 1 2 3 f'(t) 4 (a) At what value(s) of t does the function f has critical point(s)? (b) On what open interval(s), the function f is decreasing. (c) At what t value(s) does the function f has local minimum point(s)? (d) On what open interval does the graph of f concave down on? (e) At what t values does the graph of f has inflection point(s)? 5 6

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☐ 2. The figure below shows the graphs of f(x), f'(x), and ƒ"(x). Identify each ☐ 3. The figure below shows the graphs of f(x), f'(x), and f" (x). Identify each curve. orange Choices f(x) blue f'(x) black ƒ"(x) -2 black Choices blue orange R f(x) f'(x) f"(x) 6. The figure below shows the graphs of f(x), f'(x), and f" (x). Identify each curve. -2 black Choices f(x) blue f'(x) orange ƒ"(x)

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