Question

Find the domain and the range of the following relation. Also determine whether the relation is a function.

Venus 14
Mars 16
Jupiter 16
Saturn 46
Neptune 14
Pluto 37

Choose the correct range below.
O 14 to 46
O {14, 16, 46, 37}
O (Venus, Mars, Jupiter, Saturn, Neptune, Pluto) O None of the above

Answer 1

The domain of a relation is the set of all possible input values, or the set of values for the first components of the ordered pairs.
The range is the set of all possible output values, or the set of values for the second components of the ordered pairs.

In this case, the domain is {Venus, Mars, Jupiter, Saturn, Neptune, Pluto} because these are the names of the planets listed.
The range is {14, 16, 46, 37} because these are the values associated with the planets.

To determine if the relation is a function, we need to check if there are any repeated first components (planet names) with different second components (values).

In this case, the relation is a function because each planet name is paired with a unique value. There are no repeated planet names with different values associated with them.