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 A_i and B_j so that f: A_i B_j is

i)one-to-one

ii)onto, or

iii) a bijection