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Consider the function f: AB, where A, B R or Z, and f(x)=[x^2]. Now consider the following domain and codomain sets . A1=[0,3] A2={0,1,2,3},and B1=[0,9]
Consider the function f: AB, where A, B R or Z, and f(x)=[x^2]. Now consider the following domain and codomain sets .
A1=[0,3]
A2={0,1,2,3},and
B1=[0,9]
B2=(0,1,2,3,...,9}
B3={0,1,4,9}
Determine which combinations of sets Ai and Bj so that f: Ai Bj is
i)one-to-one
ii)onto, or
iii) a bijection
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