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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