Graph the function and locate intervals on which the function is increasing or decreasing, open intervals on which the function is concave up or concave down, and all inflection points.f(x) = x4 ex, -? < x < ?

A.

f is increasing on [0, 4] and decreasing
on (-?, 0] and [4, ?). f is concave up on
 and  and concave down on
(2, 6). f has inflection points at x = 2
and x = 6.
B.

f is increasing on (-?, -4] and [0, ?) 
and decreasing on [-4, 0]. f is concave 
up on  and  and concave 
down on (-6, -2). f has inflection points
 at x = -6 and x = -2.
C.

f is increasing on [-4, 0] and decreasing
on (-?, -4] and [0, ?). f is concave up on
 and concave down on  and
(-2, ?). f has inflection points at x = -6
and x = -2.
D.

f is increasing on (-?, -4] and [0, ?)
and decreasing on [-4, 0]. f is concave
up on  and concave down on
(-?, -2). f has an inflection point at x = -2.


Answer: B

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