Question

Given y = f x = x − x + , do the following: a. State the domain of f(x). b. Does f(x) have any horizontal tangents? If so, where? c. State Rolle’s Theorem and find the interval on which Rolle’s Theorem can be applied. Graph f(x). d. Find the intervals on which f(x) is increasing or decreasing. e. Find all relative extrema by first derivative test and second derivative test. Compare the two methods of finding the extrema and explain in complete sentences which method you would choose.