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