Are the following set of ordered pairs functions? If so, examine whether the mapping is injective or surjective: `{(x ,\ y): x` is a person, `y` is the mother of `x}` (ii) `{(a ,\ b): a` is a person, `b` is an ancestor of `a}`

Answer

N/a

Explanation

(i) Given set of ordered pair is { (x, y) : x is a person, y is the mother of x}.
It represent a function. Here, the image of distinct elements of x under f are not distinct, so it is not a injective but it is a surjective.
(ii) Set of ordered pairs = { (a, b) : a is a person, b is an ancestor of a }
Here, each element of domain does not have a unique image. So, it does not represent function.