How do you find the domain and range and determine whether the relation is a function given {(2,1), (-3,0), (1,5)}?

1 Answer
Jun 30, 2017

Answer:

See explanation.

Explanation:

The domain is the set of 1st coordinates in the pairs' set.

Here we have #D={-3,1,2}#

The range is the set of 2nd coordinates in pairs.

Here it is:

#R={0,1,5}#

The condition of being a function is:

For each argument in the domain there must by only one value assigned to it.

Here this condition is met.

If we added for example a pair #(1,0)# then the new relation would not be a function because it would have 2 values #0# and #5# both assigned to the same argument (1).