Question

Find the domain and the range of the following relation. Also determine whether the relation is a function.
Input:
Output:
Planet
Number of Solar
Congress Representatives
Venus
13
Mars
Jupiter
Saturn
Neptune
Pluto
30
35
21

Answer 1

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Part 1
Find the domain and the range of the relation. Determine whether the relation is a function.
Input
Output
-5
3
-9
9
30

Answer 2

The domain of the relation is the set of inputs, which in this case is the set of planets: Venus, Mars, Jupiter, Saturn, Neptune, Pluto.

The range of the relation is the set of outputs, which in this case is the set of numbers representing the number of solar congress representatives: 13, 30, 35, 21.

To determine whether the relation is a function, we need to check if each input (planet) is associated with exactly one output (number of solar congress representatives). In this case, all the planets are associated with a unique number of solar congress representatives, so the relation is indeed a function.

Answer 3

The domain of the relation is the set of inputs, which in this case is {-5, -9, 9}.

The range of the relation is the set of outputs, which in this case is {3, 30}.

To determine whether the relation is a function, we need to check if each input is associated with exactly one output. In this case, the input -5 is associated with the output 3, -9 is associated with 30, and 9 is also associated with 30. Therefore, the relation is not a function since the input 9 is associated with two different outputs.