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4 cards from this section. Quick, good the night before a test.
Define a relation between sets A and B.
Think of ordered pairs formed from both sets.
What is a reflexive relation?
Consider the elements relating to themselves.
A relation is a subset of the Cartesian product of which sets?
Remember the definition of a relation.
All surjective functions are also injective. True or False?
Consider examples where different inputs yield the same output.
Given sets A = {1, 2, 3} and B = {a, b, c, d}, define a surjective function from A to B.
Ensure every element in the co-domain is covered by at least one domain element.
Prove that if f and g are bijective functions, then their composition g o f is also bijective.
Review the definitions of injective and surjective functions.
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