Question

Consider the relation 𝑃 = {(1,7), (−1,7), (3,9), (1,3)}. Is 𝑃 a function? Justify your answer.

Answer 1

Given $𝑃 = \{(1,7), (−1,7), (3,9), (1,3)\}$

The domain of the function is:

$$\{1,-1,3\}$$

and the co-domain of the function is:

$$\{7,9,3\}$$

which doubles as the image/range of the function.

P is a function because every element in the domain is mapped to an element in the co-domain and also, each element in the domain is not a first element to more than one element in the co-domain.