9 lines
572 B
Plaintext
9 lines
572 B
Plaintext
image = range
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codomain: set that a function is stated to evaluate to; range: values that are possible from a function
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onto function: surjection
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bijective: injective & surjective
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injective: \forall x, y \in \operatorname{Domain}.~ f(x) = f(y) \implies x = y \tag{one-to-one}
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surjective: \forall y \in \operatorname{Codomain}.~\exists x \in \operatorname{Domain}.~ f(x) = y \tag{codomain = range}
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inverse only a function for bijective functions - not surjective means undefined for some values of the domain, not injective means multi-valued for some values of the domain
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