Is it possible for f(x) to have an inflection point? Please explain...?

Question

Let f(x) = ax^3 + bx^2 + cx + d, where a is not equal to 0 and b, c, and d are real numbers. Is it possible for f(x) to have an inflection point?

Answer 1

Yes = see wiki ref. below and observe graph showing 2 x inflection points.

NB. 'a' is non-zero but does not have to be 'real' = I'm not sure what the effect of making 'a' an imaginary number (i.e. a complex number whose square is a negative real number) would be.

Answer 2

This calculus.... I Friggin hate calculus!(Im doing an engineering degree and the maths sucks eggs)

I cant really think at the moment, but I suggest you have a look on www.mathcentre.co.uk. Its a briliant website.

Good luck!!