214k views
2 votes
Is a parabola a one-to-one function?

User Ben Dale
by
3.3k points

2 Answers

5 votes
A parabola is not a one-to-one function.
User Pychopath
by
3.7k points
2 votes

Answer:

no

Explanation:

The function f(x)=x2 is not one-to-one because f(2) = f(-2). Its graph is a parabola, and many horizontal lines cut the parabola twice. The function f(x)=x 3, on the other hand, IS one-to-one. If two real numbers have the same cube, they are equal.

User Sven Rusch
by
3.3k points