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Is a parabola a one-to-one function?

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User Ben Dale
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2 Answers

5 votes
A parabola is not a one-to-one function.
answered
User Pychopath
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8.3k 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.

answered
User Sven Rusch
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8.2k points

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