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One-One & Many-One Functions

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☼ One-One & Many-One Functions : Let f : A $\large \rightarrow$ B. We say that f is one-one, if distinct elements in A have distinct images in B.

Thus, f is one-one, if f ( $X_{1}$ ) = f ( $X_{2}$ ) $\large \Rightarrow$ $X_{1}$ = $X_{2}$ .

$\large \mapsto$ On the other hand, if two or more than two elements in A have the same image in B, we say that f is many-one.