Question: Knowledge and Understanding Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Determine the number of local extrema for



Knowledge and Understanding Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Determine the number of local extrema for the graph ofx). a. 5 c. 3 b. 4 d. 2 2. Find the absolute minimum of the function x) - x-I-i on the interval 0 (x S 2. a. 0 c. 2 b. l d. 2.5 3. Find the slope of the tangent to the graph of x) - x[1 - x\") at its point of inection. a. 1 3 b. l d. l 4. Which graph represents the function /(x) = - 1 a. C. 12 4 2 -4 -2 0 2 4 X -4 0 4 X N b. d. 12 -4 -2 0 2 4 x -4 2 0 2 4 x -25. Which graph represents the function f(x) = x + - a. -4 -2 0 2 4 2 -4 4 x -2 N b. d. N -4 -2 0 2 4 26 -4 -2 0 2 4 6. Find the critical point for the function (x) = X + 1 ' (-1, 0) C. (0, 0) b. (1, 0.5) d. no critical point 7. Find f"(x) if A(x) = x2 + - a. 2+ C. 2+ 3 2x2 ~ b. 2+ 3 d. 2- 23 x XS 8. Find f"(x) if f(x) = "x. a. b. d. m3 x 9. If S = x+ y and xy = 225, find the values of x and y that minimize S. a. x = 10, y =22.5 x = 45, y = 5 b. x = 15, y = 15 d. x =9, y = 25 10. If P = xy and x + 2y = 100, find the values of x and y that maximize P. x = 50, y = 25 C. x = 30, y = 35 b. x = 20, y = 40 d. x =0, y = 50
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