Question

true or false.. a quadratic function has no inflection points

Answer 1

A function f has an inflection point if, by definition, there is a p such that f''(p) = 0.

But the second derivative of a quadratic function is always a constant. Therefore it has no inflection points.

Answer 2

thank you both

Answer 3

I should say, "the second derivative of a quadratic function is always a NON-ZERO constant and therefore ..."

Answer 4

pokemon23 i realized that