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Functions : Increasing, Extrema and Concave Up

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)

Solution Preview

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.

I've ...

Solution Summary

A function is examined for different characteristics.