The problem asks to determine the domain and range of a relation given in a table and to determine if the relation is a function. The table provides pairs of x and y values representing points.
2025/7/3
1. Problem Description
The problem asks to determine the domain and range of a relation given in a table and to determine if the relation is a function. The table provides pairs of x and y values representing points.
2. Solution Steps
First, we need to identify the domain and range. The domain is the set of all x-values, and the range is the set of all y-values.
Domain: The x-values are 2, 5, -13, -13, 3, -
8. We write the set without repeating any values.
Domain = {2, 5, -13, 3, -8}
Range: The y-values are -20, -5, 18, -1, 4,
2
3. Range = {-20, -5, 18, -1, 4, 23}
Now we need to determine if the relation is a function. A relation is a function if each x-value is associated with only one y-value. In the table, the x-value -13 is associated with two different y-values, 18 and -
1. This means that the relation is not a function.
3. Final Answer
Domain: {-8, -13, 2, 3, 5}
Range: {-20, -5, -1, 4, 18, 23}
Is the relation a function? No