Question

and he's helping his friend Eddie is helping his friend understand how to identify functions from sets of ordered pairs which set of ordered pairs pictured above could he show his friend as an example of a set that represents y as a function of x?​

Answer 1

The set of ordered pair he could show as an example of a function of x? is {(1, q), (3, q), (5, q), (7, q)}

Which ordered pair could he show as an example of a function of x?​

From the question, we have the following parameters that can be used in our computation:

The ordered pairs

By definition:

A relation is said to be a function if and only if each input values is uniquely assigned to an output value

This also means that it would pass the vertical line test when represented on a graph

Using the above as a guide, we have the following:

The ordered pair he could use is {(1, q), (3, q), (5, q), (7, q)}

Answer 2

First of all, let's define what a function is:

A function
`f` from a set
`A` to a set
`B` is a relation that assigns to each element
`x` in the set
`A` exactly one element
`y` in the set
`B`. The set
`A` is the domain (also called the set of inputs) of the function and the set
`B` contains the range (also called the set of outputs).

The ordered pairs has been plotted below. As you can see, the set B is the only relation that meets the requirements of the concept of function because that relation assigns each element
`x` in the set
`A` exactly one element
`y` in the set
`B`. For the other sets, at least one element
`x` in the set
`A` matches to two or more elements
`y` in the set
`B`.