For f (ac) = a3 + 2x2 - 4x + 1, fis increasing on which of the following intervals? O A. (-2, 3 O B. (-00, -1) and 3, 00 O C. (-00, -2) and (=, 00) O D. (-1, O E. (-00, 00)The graph my: tan x is concave up an which Ufthe following intervals\"? 0 A. (mg) O B. [g) O [3. (_3 E) 414 O D. (0,11') O E. (11:10) The derivative of a function is f'(a) = a (x + 2) (x -4). From this function, which of the following must be true about f? O A. fhas a local minimum at x = 0 and local maximums at x = -2, 4. O B. fhas local maximums at x = 0, 4 and a local minimum at x = -2. O C. fhas local minimums at x = 0, 4 and a local maximum at x = -2. O D. fhas local maximums at x = -2, 0 and a local minimum at x = 4. O E. fhas a local maximum at x = 0 and local minimums at x = -2, 4.A particle is moving along the XEtXlS with position function a: (it) = t3 5t? + 3t + 2 fort 3 1]. Over which of the following time intervals is the particle speeding up? '3' F"- (o,%) and (313) GEE