7. A function f is has the following derivatives (defined for all real numbers x): f'(x) = 3r – 3r and f"(x) = 92? – 3 (a) On what intervals is f increasing? (Use interval notation to express your answer) (b) List all z values at which f has a local maximum. (c) List all z values at which f has a local minimum. (d) On what intervals is f concave up? (e) List all z values at which f has an inflection point. (f) Use the derivatives of f to draw a very rough sketch giving the basic shape of f (label the x-axis in your sketch clearly; you do not have to label the y-axis) Note: your answer must consist of just ONE graph!

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