In: Math
Consider the function ?(?)=(?^(4/5))*(?−3). This function has
two critical numbers ?<?
1) Then ?= ? and ? = ?.
2) For each of the following intervals, tell whether ?(?) is
increasing or decreasing.
(−∞,?]: ?
[?,?]: ?
[?,∞): ?
3) The critical number A is ? and the critical number B is ? (a
relative maximum / a relative minimum / neither max nor min )
There are two numbers ?<? where either ?″(?)=0 or f″(x) is
undefined.
4) Then C = ? and D = ?
5)Finally for each of the following intervals, tell whether ?(?)
is concave up or concave down.
(−∞,?): ?
(?,?): ?
(?,∞): ?