One-one function: Difference between revisions
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[[File:One-one function geometric proof true.PNG|350px]] | [[File:One-one function geometric proof true.PNG|350px]] | ||
In the graph below, the function <math>y=x^2</math> is intersected twice by the horizontal line. Therefore the function is geometrically proven no to be one-one. | |||
[[File:One-one function geometric proof.PNG|350px]] | [[File:One-one function geometric proof.PNG|350px]] | ||
Revision as of 15:39, 22 April 2022
A function is called one-one function if it never adopts the same value twice.
Geometric proof
A function is one-one if and only if no horizontal line intersects its graph more than once.
In the graph below, the function is intersected once by the horizontal line. Therefore the function is geometrically proven to be one-one.
In the graph below, the function is intersected twice by the horizontal line. Therefore the function is geometrically proven no to be one-one.
