Suppose a={ a, b,c,d,e,f} and R is the relation on A defined by R={ (a,f),(b,a),(c,d),(d,d),(e,b),(f,e) } State, with reasons, whether the relation is
a) a function from A to A
b) an everywhere defined function
c) an onto function
d) a one -to-one function

Question

Suppose a={ a, b,c,d,e,f} and R is the relation on A defined by R={ (a,f),(b,a),(c,d),(d,d),(e,b),(f,e) } State, with reasons, whether the relation is 
a) a function from A to A
b) an everywhere defined function
c) an onto function
d) a one -to-one function

anonymous · Answer

my answer is  a) it is a function from A to A  and it is everywhere defined and it is on to function but not one to one function.