Question

In: Math

Consider the function ?(?)=(?^(4/5))*(?−3). This function has two critical numbers ?<? 1) Then ?= ? and...

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.
(−∞,?): ?
(?,?): ?
(?,∞): ?

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