Question

{(5,2), (4,2), (5,3)} Is the set of ordered pairs a function?

Answer 1

A relationship is a function if for every input(x) there is exactly one output(y). Ie we can estimate output based on input

In the given set of ordered pairs:

first pair When x=5, y=2

Second pair x=4, y=2

Third pair x=5, y=3

Note: at x=5 there are two values of y ie y=2 in first pair and y=3 in third pair.

Here we can see for one value of x there are two values y.

In other word we cant estimate output if we know the input. Here if input x=5 we are not sure if output is y=2 or y=3.

So, The given set of ordered pair is not a function