For the Function : (A) Find the Critical Numbers

Multiple Choice

For the function : (a) Find the critical numbers of f (if any) ;
(b) Find the open intervals where the function is increasing or decreasing; and
(c) Apply the First Derivative Test to identify all relative extrema.
Then use a graphing utility to confirm your results.

A) (a) x = 0 , 4 (b) increasing: ; decreasing: (c) relative max: ; relative min:
B) (a) x = 0 , 4 (b) decreasing: ; increasing: (c) relative min: ; relative max:
C) (a) x = 0 , 1 (b) increasing: ; decreasing: (c) relative max: ; relative min:
D) (a) x = 0 , 1 (b) decreasing: ; increasing: (c) relative min: ; relative max:
E) (a) x = 0 , 1 (b) increasing: ; decreasing: (c) relative max: ; no relative min.