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 domain 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 the relation is the set of all possible input values, which in this case is the set of all planets mentioned: {Venus, Mars, Jupiter, Saturn, Neptune, Pluto}.

The range of the relation is the set of all possible output values, which in this case are the numbers given: {14, 16, 46, 37}.

To determine whether the relation is a function, we need to check if each input value (planet) is associated with exactly one output value (number).

In this case, Venus and Neptune are associated with the number 14, Mars and Jupiter are associated with the number 16, Saturn is associated with 46, and Pluto is associated with 37.

Since each input value is associated with exactly one output value, the relation is a function.

Therefore, the correct answer for the domain is (Venus, Mars, Jupiter, Saturn, Neptune, Pluto).