1) Consider the function f(x) = IxI. (If an answer does not exist, enter DNE.) (a) For what value(s) of x is f'(x) = 0? (Enter your answers as a comma-separated list.) (b) Determine the interval(s) for which f(x) is increasing. (Enter your answer using interval notation.) (c) Determine the interval(s) for which f(x) is decreasing. (Enter your answer using interval notation.) (d) For what value(s) of x is f'(x) undefined? (Enter your answers as a comma-separated list.) (e) The function f(x) has local, absolute maximum or minimum? 2) Consider the function f(x) = f(x) = x^10 10x^9. (If an answer does not exist, enter DNE.) (a) For what value(s) of x is f'(x) = 0? (Enter your answers as a comma-separated list.) (b) Determine the interval(s) for which f(x) is increasing. (Enter your answer using interval notation.) (c) Determine the interval(s) for which f(x) is decreasing. (Enter your answer using interval notation.) (d) For what value(s) of x is f'(x) undefined? (Enter your answers as a comma-separated list.) (e) The function f(x) has local, absolute maximum or minimum? 3) (a) For what values of x is f increasing? (Enter your answer using interval notation.) For what values of x is f decreasing? (Enter your answer using interval notation.) (b) For what values of x does f have either a local maximum or a local minimum? (Enter your answers as a comma-separated list.)