Sketch a graph of the function?(x) = −x3 + 4x2 − 9x + 3 using the following steps. a) Identify where the extrema of ?(x) occur. b) Find the intervals on which ?(x) is increasing and the intervals on which ?(x) is decreasing. c) Find where the graph of ?(x) is concave up and where it is concave down. d) Sketch the general shape of the graph for ?(x). e) Plot some specific points, such as local maximum and minimum points, points of f) inflection and intercepts. Then sketch the curve.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 2ECP
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Sketch a graph of the function?(x) = −x3 + 4x2 − 9x + 3 using the
following steps.
a) Identify where the extrema of ?(x) occur.
b) Find the intervals on which ?(x) is increasing and the intervals on which ?(x) is decreasing.
c) Find where the graph of ?(x) is concave up and where it is concave down.
d) Sketch the general shape of the graph for ?(x).
e) Plot some specific points, such as local maximum and minimum points,
points of
f) inflection and intercepts. Then sketch the curve.

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