tion 1 Question [5 points]: yet If vered ked out of f' (x ) = - x2+9x - 14. then f (x) is decreasing on the interval (2,7). Flag stion Select one: O True O Falsetion 2 Question [5 points]: yet If vered ked out of f(x) =(-6.x -4)e 3x. then x # 1 is a critical number for the function f. flag stion Select one: O True OFalseIn 3 Question [5 points]: Let f (x) be a continuous function on (- co,co) and red d out of f"(x) = (4x+ 5)e2x. 5 g The function f (x ) has an inflection point at X = - 4 on Select one: O True O Falsein 4 Question [5 points]: red If f (x) is negative to the left and right of x # 6 then f (x ) has a local minimum at 6. d out of Select one O True ig ion O False5 Question [5 points]: Let f be a function defined on (- co, co). If red f' (x) = -x2-5x +14 d out of then the critical numbers of f(x) is/are ion O O NU None of these O c, = -7 and c, -2 O c, -7 and c, --2on 6 Question [5 points]: The absolute minimum value of the function ered f(x) =x3 -48x +4 ed out of on the closed interval [# 5,3] is equal to ition 0 -113 None of these O -124 O 132 O 119on 7 Question [5 points]: red The graph of the function ed out of f(x) =x3 -18.x2+9 is concave downward on ag tion O (5,9) O (7,9) O (3, 7) O (3, 5) None of theseon 8 Question [5 points]: t If f (3) - 7. f (3) -0 and f (3) =-5, then ered ed out of 3 is a local minimum value for f(x). ag 7 is a local maximum value for f(x). tion None of these 3 is a local maximum value for f(x). 7 is a local minimum value for f(x).on 9 Work Problem [60 points]: Solve the following questions. Write step by step solutions and justify your answers. red ed out of 1) [20 Points] Find the absolute maximum and minimum values of the function: ag tion f(z) = -T 5 5 - x - 8x -5, -351