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04-06-2018
Mathematics

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Describe the graph of the function:
f(x)= x^3 - 18x^2 + 101x -180
Include the y-intercept, x-intercepts, and the shape of the graph

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wolf1728 wolf1728

04-06-2018

The y intercept occurs when x = 0. Therefore it is -180.
The x-intercepts are the roots of the equation.
x1 = 9
x2 = 4
x3 = 5
The shape of the graph would look approximately like the attached graphic.

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