Question

Which set of ordered pairs does not represent a function?

1-{(0,6),(5,−4),(3,−4),(8,−6)}

2- {(6,−1),(−6,−1),(−2,−8),(−4,9)}

3-{(−3,−3),(4,1),(−3,3),(2,2)}

4-{(1,−4),(5,−7),(−3,−6),(−2,−4)}

Answer 1

Given:

The set of ordered pairs in the options.

To find:

The set of ordered pairs which does not represent a function.

Solution:

A set of ordered pairs represents a function if their exist a unique y-value for each x-value.

In option 3, the given set of ordered pair is:

{(−3,−3),(4,1),(−3,3),(2,2)}

Here, we have to y-values -3 and 3 for x=-3. It means the y-value is not unique for x=-3. So, this set of ordered pairs is not a function.

In option 1, 2 and 4, all the x-coordinates are different. It means their exist a unique y-value for each x-value. So, the set of ordered pairs in options 1, 2 and 4 represent a function.

Therefore, the correct opting is 3.