INJECTIVE, SURJECTIVE, and BIJECTIVE FUNCTIONS - DISCRETE MATHEMATICS

We introduce the concept of injective functions, surjective functions, bijective functions, and inverse functions.

#DiscreteMath #Mathematics #Functions

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[TheMrsteakman]

Injective: 0:39
Surjective: 5:25
Bijective: 10:07

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[jamesbaldwin]

f: R->Z given by f(x)=5x+2 is NOT surjective. It's clear just from looking at it that the range of f(x) is R, but the codomain of the function is Z, so it is not surjective. If, on the other hand, you're talking about the function f:R->Z given by f(y)=(y-2)/5, this again is not surjective by the same reasoning. For either of these functions to be surjective, you'd need f:Z->R

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