MathDB

Prove that f(x)=x^2

Source:

February 9, 2011

functionconicsparabolaalgebra unsolvedalgebra

Problem Statement

Let

f(x)

be a function such that every straight line has the same number of intersection points with the graph

y = f(x)

and with the graph

y = x^2

. Prove that

f(x) = x^2.