a. Find the open intervals on which the function is increasing and decreasing.
A. The function is decreasing on the subintervals (-Γ’ΛΕΎ, -1), (1,0) and increasing on the subinterval (-1,1).
b. Identify the function's local and absolute extreme values, if any, and state where they occur.
g(x) = x^2 - x
A. The function has a local maximum at x = -1 and x = 1/2, and it has a local minimum at x = -1/2 and x = 1.
c. The function has no absolute extrema.