Question

What are the possible values of x and y for two distinct points, (5, –2) and (x, y), to represent a function?

Answer 1

Possible values of x and y can be:

x can be any value except 5

and y can be any value

Explanation:

A function f is a map from a non empty set A to B if every element of a is mapped to a unique element of B.

Here we are given that:

f(5)= -2

for two distinct points such that f(x)=y

x can be any value except 5

(since 5 has a image -2 and for a function image of any element is unique)

and y can be any value

Possible values of x and y can be:

x can be any value except 5 and y can be any value

Answer 2

x may have any value except 5.
y may have any value.