Question

Find the​ x-values of all points where the function has any relative extrema. Find the​ value(s) of any relative extrema.

​f(x= −x3+3x2+24x−4

Select the correct choice below​ and, if​ necessary, fill in any answer boxes within your choice.

A.

The function has a relative

minimumminimum

of

at

xequals=

and a relative

maximummaximum

of

at

xequals=

​(Use a comma to separate answers as​ needed.)

B.

There are no relative minima. The function has a relative maximum of

at

xequals=

​(Use a comma to separate answers as​ needed.)

C.

There are no relative maxima. The function has a relative minimum of

at

xequals=

​(Use a comma to separate answers as​ needed.)

D.There are no relative extrema.