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Which two sets of ordered pairs represent a function ?

Which two sets of ordered pairs represent a function ?-example-1
User Esteewhy
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1 Answer

3 votes

Answer:

Second option.

Fifth option.

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.

User Dmitry Tokarev
by
5.8k points
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