How many critical points can a quadratic polynomial function have?
1 Answer
Jul 27, 2018
A quadratic polynomial function can have a single critical point.
Explanation:
A quadratic polynomial is a polynomial of second degree, in the form:
with
By definition the critical points for
so:
As this is a first degree equation, it has a single solution:
so a quadratic polynomial function can have a single critical point, which by the way is the vertex of the parabola of equation: