![]() Many-one (not injective)Ī function f : A \(\rightarrow\) B is said to be a many one if two or more elements of A have the same image f image in B. Note : If range is same as codomain, then f is onto. Thus f : A \(\rightarrow\) B is surjective iff \(\forall\) b \(\in\) B, \(\exists\), some a \(\in\) A such that f(a) = b. ![]() ![]() If the function f : A \(\rightarrow\) B is such that each element in B (co-domain) is the f image of atleast one element in A, then we say that f is a function from A ‘onto’ B. Let’s begin – One to One (Injective mapping)Ī function f : A \(\rightarrow\) B is said to be one to one or injective mapping if different elements of A have different f images in B. Here, you will learn one to one function and onto functions, many one and into with example.
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