Question: Identify the correct statements for the given functions of set{ a , b , c , d } to itself. 1. f ( a )

Identify the correct statements for the given functions of set{a, b, c, d} to itself.

1.

f(a) = b, f(b) = a,f(c) = c, f(d) =d is a one-to-one function as each element is an image ofexactly one element.

2.

f(a) = b, f(b) = a,f(c) = c, f(d) =d is not a one-to-one function as a is mapped tob and b is mapped to a.

3.

f(a) = b, f(b) =b, f(c) = d,f(d) = c is a one-to-one function aseach element is mapped to only one element.

4.

f(a) = b, f(b) =b, f(c) = d,f(d) = c is not a one-to-one function asb is an image of more than one elements.

5.

f(a) = d, f(b) =b, f(c) = c,f(d) = d is a one-to-one function aseach element is mapped to only one element.

6.

f(a) = d, f(b) =b, f(c) = c,f(d) = d is not a one-to-one function asd is an image of more than one element.

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