Question

Which two sets of ordered pairs represent a function ?

Answer 1

Answer:

Second option.

Fifth option.

Step-by-step explanation:

By definition, a relation is a function only if each input value (each x-value) has one and only one output value (y-value).

Knowing this, we can check each set of ordered pairs given in the picture:

First option: Notice that the input value $-1$ has two output values ($-1$ and $1$), and the input value $-2$ has two output values ($-2$ and $2$); therefore this set of ordered pairs does not represent a function.

Second option: Observe that each input value has one output value; therefore this set of ordered pairs represents a function.

Third option: Notice that the input value $-1$ has two output values ($0$ and $1$), and the input value $1$ also has two output values ($0$ and $1$). Therefore this set of ordered pairs does not represent a function.

Fourth option: Since  all the ouput values belong to the input value $1$, we can conclude that this set of ordered pairs does not represent a function.

Fifth option: Observe that each input value has one output value; therefore this set of ordered pairs represents a function.