One to one and onto functions
One-to-One Functions:
A function is said to be one-to-one (injective) if each element in the domain maps to a distinct element in the codomain. In other words, no two different elements in the domain are mapped to the same element in the codomain. Mathematically, a function f: A → B is one-to-one if for every pair of distinct elements x₁, x₂ ∈ A, their images under f are distinct, i.e., f(x₁) ≠ f(x₂). This property ensures that there's no information loss during ___ _______ _____ _____ ____ _______ _____ _______ _______ ___ ______ __________.
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