For the Function : (A) Find the Critical Numbers

question 20

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.