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Functions : Increasing, Extrema and Concave Up

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Suppose f(x) = x^3 - 3x + 5

a) Where is f increasing?

b) Does f have any local extrema, and if so, for what values of x?

c) Where is f concave up?

(^ indicates exponent)

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Solution Summary

A function is examined for different characteristics.

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Please see the attached Excel file which graphs the function for you. The particular shape for this curve is very characteristic of cubed functions. They all have similar shapes.

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