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MCV4U1 - UNIT 4 - CURVE SKETCHING TEST Multiple Choice For questions I through 12, identify the choice that best answers the question. (K - 1 mark each) 1. Below is the graph of f(x) . For what value(s) of x does f*(x) = 0? f(x) a. -2 C. 2 b. 0 and 4 d. 0, 2 and 4 2. For the graph of f(x) in question #1, on what interval(s) is f'(x) 4 d. x 8 C. 6 0, which of the following must be true? a. f(x) is increasing at x = c c. f(x) is positive at x = c b. f (x) is decreasing at x = c d. f (x) is concave up at x = C6. Let f(x) = 2x- -5x -3 What types of asymptotes does f(x) have? x - 3 a. Vertical and horizontal c. Vertical and linear oblique b. Only vertical d. f(x) does not have any asymptotes 7. Let f(x) = \(x -7)' . What is the concavity of f(x) at x = 12? a. Concave up c. Neither concave up nor concave down b. Concave down d. Unknown 8. If the graph of f'(x) has a local maximum at x = 0, what can we conclude about the polynomial function f(x) at x = 0? a. There is an inflection point c. f(x) is positive b. There is a local maximum d. We cannot conclude anything 9. Let f(x)= x' -5x + 3x+7 . For what value(s) of x does f(x) have a point of inflection? a. Only 0 c. 0 and 3 b. Only 3 d. Value(s) other than 0 and 3 10. If f'(5) =0 and f*(5) 0 and f"(x) >0 c. f'(x) 0 b. f'(x) > 0 and f"(x)