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What is one one and on to function?
plz...
explain with example.........
Thanks
A function from A to B is said to be one one function if no two elements in A have same image in B.
Ex. A={a,b,c} and B={1,2,3,4}
and f:A to B = {(a,1),(b,2),(c,3)} is a one one function
range:{1,2,3} ; codomain:{1,2,3,4}
but g:A to B = {(a,1),(b,1),(c,2)} is not one one function as 'a' and 'b' has same image i.e. 1
A function is said to be onto if the range is equal to its codomain
A={a,b,c,d} and B={1,2,3,4}
and f:A to B = {(a,1),(b,2),(c,3),(d,4)} is a onto function
range:{1,2,3,4} = codomain:{1,2,3,4}
but g:A to B = {(a,1),(b,1),(c,2)} is not onto function
range:{1,2} is not equal to codomain
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