Name: Date: Calculus 1 Quiz 3.4 1. Find all relative extrema of the function f (x) = x8/11 - 4 . Use the Second Derivative Test where applicable. A) relative max: (0, -4); no relative min B) no relative max or min C) relative max: (1, -3); relative min: (0, -4) D) relative min: (0, -4); no relative max E) relative max: (1, -3); no relative min 2. Find the points of inflection and discuss the concavity of the function f (x) =6x - cos x on the interval [0, 2x]. A) concave down on (0, 27) ; no points of inflection B) concave upward on TE 3TC 2' 2 concave downward on (o, - ), (35 , 2x): inflection points at x = - and x = _3 TC 2 2 C) concave downward on TT 3 TT 2 ' 2 (0. ) . ( 27 , 27 ) inflection points at x = ~ and x = 3 TT 2 D) concave up on (0, 27) ; no points of inflection E) none of the above 3. Determine the open intervals on which the aroph of The fee- ction f ( 2 ) = is concore upward or concove downward. * + 784 4. Find the points of inflection and discuss The concavity of The function fins = sinn-corn on The internal (0, 207), 5. Determine the open intervals on which The graph of f (2) = 8xt xx-8 is concave down word or concove upward. Version 1 Page 1