Question

Which type of critical point, if any, is present in the graph of f(x) = x3 – 1?
answers: maximum
minimum
point of inflection
none of these

Answer 1

\[x^{3}\] is an odd function. Remember what the graph of an odd function looks like? It goes down to the left, and up to the right. So there is no max or min.

If you take the derivative of f and set the derivative equal to 0, you will find WHERE the graph has a critical point. You could apply the second derivative test to see what else in going on I suppose.. I'm alil rusty on that though :p

blah, anyway .. it is an inflection point :D ..

Answer 2

thanks :P