Hello I need some help with these questions. If you could please show me all your work on a separate sheet of paper with the solutions/answers that would be great!

1. a) Describe the graph of f(x) using the terminology: increasing, decreasing, local maximum or local minimum points, concavity, points of inflection and the following information i. f'(x) 0 when x > 3 Choose the graph that could be a graph of f(x) and justify your answer (scroll across to see three possible choices) Graph A Graph B Graph C y = f(x) y = fox y = too X b) Describe the graph of f(x) using the terminology: increasing, decreasing, local maximum or local minimum points, concavity, points of inflection and the following information i. f '(x) > 0when x 2 Choose the graph that could be a graph of f(x) and justify your answer. Graph A Graph B Graph C y = fog y = f(xx) y = (x) x c) Describe the graph of f(x)using the terminology. increasing, decreasing, local maximum or local minimum points, concavity, points of inflection and the following information 1. f'(x) 1 ii. f'(x) = 0 when x = -1 ii. f'(x) > 0 when -1