Analyzing a graph in exercise, analyze and sketch the graph of the function. label any relative extrema, points of inflection, and asymptotes.
f(x) = x3ex

Sketched & Analyzed.

Step-by-step explanation:

We are given:

First derivative of f(x):

There are a root at x = -3 and double roots at x = 0.

So it is decreasing on (-∞, -3) and increasing on (-3, ∞).

Second derivative of f(x):

Roots are

So it is concave down on ∪ and concave up on ∪

The sketch is given in the attachment.

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation:

answer by yourhope:

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