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Two simple properties that functions may have turn out to be exceptionally useful If the codomain of a function is also its range, then the function is onto or surjectiveIf a function does not map two different elements in the domain to the same element in the range, it is onetoone or injectiveIn this section, we define these concepts "officially'' in terms of preimages, and explore some0 2 < 1 1 2 * 62 6= 2 1 3 8 , 0 2 ( / 0 , ( 1 2 3 4 5 6 7 " 6 7 8 9 3!PART 1 MODULE 2 SET INTERSECTION, SET UNION, SET COMPLEMENT SUMMARY The intersection of two sets denotes the elements that the sets have in common, or the "overlap" of the two sets S ∩ T = {xx∈ S and x∈ T} The union of two sets merges the two sets into one "larger" set S ∪ T = {xx ∈ S or x ∈ T}
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