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consider the graph below of the first derivative f' of a function f For Problems y = f'( x) 8 X 0 2 [2 pts.]

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consider the graph below of the first derivative f' of a function f For Problems y = f'( x) 8 X 0 2 [2 pts.] Which of the following statements must be true? (A) at a = 1, the graph of f has a tangent line with positive slope (B) at r == 1, the graph of f has a tangent line with negative slope C) at r = 1, the graph of f has a horizontal tangent line (D) at r = 1, the graph of f has a vertical tangent line (E) None of the above & (2 pts.] Which of the following statements must be true? (A) at a = 2, the graph of f is increasing (B) at T = 2, the graph of f is decreasing (C) at x = 2, the graph of f has a relative maximum (D) at r = 2, the graph of f has a relative minimum (E) None of the above (2 pts.] Which of the following statements must be true? (A) at x = 3, the graph of f is concave up (B) at r = 3, the graph of f is concave down (C) at r = 3, the graph of f changes from concave up to concave down (D) at r = 3, the graph of f changes from concave down to concave up (E) None of the above

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