Consider the function [math]. For this function there are four important intervals: [math], [math],[math], and [math] where [math], [math], and [math] are the critical numbers.
Find [math]
and [math]
and [math]
At each critical number [math], [math], and [math] does [math] have a local min, a local max, or neither? Type in your answer as LMIN, LMAX, or NEITHER.
At [math]
At [math]
At [math]