1. For which of the following functions does the Extreme Value Theorem guarantee you that the function f(x ) has an absolute maximum and an absolute minimum on the interval [-2 x , 2x ]? O A. f(x) = 1 - COS X X O B. f ( x ) = X - 2x+ 1 X - 1 O c. f( x) = x sin x7. The Mean Value Theorem can be applied to {(x) = sin2 x on the interval [0%]- A. True B. False x) -o _ X A. 00 B 0 C. 3 D. - E. none of these 25. Which of the following statements is not true about the tunction flx) = 2X2 + X - 1 3 2x2 - x - 3 A. It has a horizontal asymptote at y = l. B. Its limit as x approaches -00 and as x approaches +00 will be the same as each other. C. It has two vertical asymptotes. 28. The graph of a Function is shown below. Select the graph of the derivative f \f3]. The graph of f is shown below. For which values of x is 1"(x) zero? A. x=2;x=0 O 0. QC. 0 O x=0;x=6 D. x=0;x=4 E. x=-2;x=i 34. The graph of f is shown below. For which values of x is f\"(x) zero? 36. Find the point on the graph of the function f(x) = J)? that is closest to the point (18, 0). 45. Which of the following functions passes through the point (0, 10) and satisfies f '( x ) = 12. O A. f( x) = 10x + 12 O B. f ( x ) = 12 X O C. f(x) = 12x + 10 O D. f(x) = 10x O E. f( X ) = 12 + 10 X47. Find the points of inflection and discuss the concavity of the function f(x) = x VX + 16 . A. no inflection points; concave up on (-16, co ) B. no inflection points; concave down on (-16, co ) C. inflection point at x = 16; concave up on (-16, co ) D. inflection point at x = 0; concave up on (-16, co ); concave down on (0, co ) E. inflection point at x = 16; concave down on (-16, co )49. You are in a boat 2 miles from the nearest point oF the coast (see Figure). You are to go to point 0 that is 3 miles down the coast and 1 mile inland. You can row 2 miles per hour and walk at 4 miles per hour. Toward what point on the coast should you row in order to reach Q in the least amount oF time. Q A. x=1.40 Q B. x=l.20 O c. x=1.oo O D. x=0.90 O E. x=-1.10