Midterm Exam Algebra 1

Question

 Is the set of order pairs a function? {(2, 3), (-4, 5), (-2, 3), (4, 5), (0, -6)}

Yes or No

Answer 1

When a relation is given in the form of ordered pairs, for each ordered pair, the first element of ordered pair represents elements of domain and the second element represents elements of set of range.

In order for a relation to be a function, there should be no repetition in domain i.e. every element should be unique.

Given relation is:

{(2, 3), (-4, 5), (-2, 3), (4, 5), (0, -6)}

As we can see that the domain of given relation is:

{2,-4,-2,4.0} i.e. every element is unique

So,

The given relation is a function.

We know that every function is order pair,

Answer : yes