Use the graph of the derivative f' of a continuous function f is shown. (Assume f' continues to co.) y 4 y = f'(x) 2 X 2 4 18 -2 (a) On what interval(s) is f increasing? (Enter your answer using interval notation.) [1,6]U[8,00) On what interval(s) is f decreasing? (Enter your answer using interval notation.) [0,1] U [6,8] (b) At what value(s) of x does f have a local maximum? (Enter your answers as a comma-separated list.) x = 6 At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.) x = 1,8 (c) On what interval(s) is f concave upward? (Enter your answer using interval notation.) (0,2) U (3,5) U(7,00) On what interval(s) is f concave downward? (Enter your answer using interval notation.) (2,3) U (5,7)

Consider the function f(x) that is described by the statment: " the function decreases to the point (-3, -2) and then increases to the point (2,4) and then decreases again". [A: 4] A. Sketch f(x) roughly. B. Determine the interval where the first derivative is positive or negative. C. Determine the sign (+/ -) of the value of f" (-3) and f" (2)

II II X = 6. %3D 6. %3D ((x)),-d = (x)U°1_t) %3D %3D - 7 -7 9 %3= ((x);_})d = (x)(,-d°) %3D Verify that f .f and f-1o f are both the identity function. = (x),-4 %3D Determine f-1. f(x)% 3 6x - 7 A webassign.net The equation defines a one-to-one function f. 40 PM Sun Oct 10