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)
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.
A function is examined for different characteristics.