2. Let f be the function defined by f(x) = x"(x + 3), where n is an integer that is greater than or equal to 2. (a) Find all critical points of f. (b) Find the the intervals on which f is increasing or decreasing, (c) Use the information from the previous two parts to find determine whether the critical points are local maxima, local minima, or neither. (Do not use any information about the second derivative; just the sign of the first derivative.) Note: You may not assume that n is any particular integer. Your answers to some of the parts above will be different for different n's. For example, you may find different behaviours when n is even or when n is odd. Please make sure to be as clear as possible in your explanation. You are encouraged to use your favourite graphing software to get a sense of what this function is doing for different n values, but your answer should justify all of its conclusions using techniques learned in the course. Correct answers without justification will receive no credit