Question 45
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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
+++
f is increasing on (-, -4] and [0,-)
and decreasing on [-4, 0]. f is concave
up on (-2, and concave down on
(-∞, -2). f has an inflection point at x = -2
f is increasing on [-4, 0] and decreasing
on (-, -4] and [0.). f is concave up on
(-6, -2) and concave down on (-09-6) and
(-2,-). f has inflection points at x = -6
and x = -2.
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-10 -8
f is increasing on [0, 4] and decreasing
on (-∞, 0] and [4, *). f is concave up on
(-092) and (6, and concave down on
(2,6). f has inflection points at x = 2
and x = 6.
f is increasing on (-, -4] and [0,-)
and decreasing on [-4, 0]. f is concave
up on (-09-6) and (-2, od and concave
down on (-6, -2) f has inflection points
at x = -6 and x = -2.
Fig: 1