SOLUTION: Can someone explain to me why 0 is not considered a critical point in the function {{{ 2x^2 + 32/x }}} ?

Algebra ->  Rational-functions -> SOLUTION: Can someone explain to me why 0 is not considered a critical point in the function {{{ 2x^2 + 32/x }}} ?      Log On


   

Question 1153792: Can someone explain to me why 0 is not considered a critical point in the function +2x%5E2+%2B+32%2Fx+ ?
Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
0 is A CRITICAL NUMBER FOR the function 
%22f%28x%29%22=2x%5E2+%2B+32%2Fx+ 
which has domain
.

It is improper to call 0 "a critical point in the function".  First of all, zero
is a NUMBER, not a POINT, and also, zero CANNOT be said to be "in the function".

Edwin