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Let f:X->Y be a function. Define a relat...

Let `f:X->Y` be a function. Define a relation `R` in `X` given by `R={(a,b):f(a)=f(b)}.` Examine whether `R` is an equivalence relation or not.

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Given,`f:X→Y`
and `R={(a,b):f(a)=f(b)}`
a)For Reflexive
`R(a,a)∀a∈X`
`f(a)=f(a)`
Therefore.R is reflexive.
...
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