The derivative of a continuous function f is given. In each case, find the open intervals on which f is increasing or decreasing, and find the x-values of all relative extrema (turning points).
f'(x) = (x-8) * (x-1) * (x+3)
Write a set for the following questions. Write {} for the empty set.
f has relative maxima
f has relative minima
Give your answers for intervals in interval notation. For example, (A,B) is the same as A < x < B or (A,B), where '(' means 'open' and ')' means 'closed'. To join two intervals I and J together, like I ∪ J, write union(I, J).
f is increasing in the interval
f is decreasing in the interval
