Find the domain and range of the relation, and state whether or not the relation is a function.
{(3, 9), (3, 10), (3, 11), (3, 12)}
The domain is the set of all mapped x values, which is {3}.
The range is the set of all y values that an x maps to, which is {9, 10, 11, 12}.
Because multiple x values map to different y values, the relation is not a function.
To find the domain of the relation, we need to determine all the possible input values or x-values. In this case, the x-values are all the first coordinates of the ordered pairs: {3}. So, the domain of the relation is {3}.
To find the range of the relation, we need to determine all the possible output values or y-values. In this case, the y-values are all the second coordinates of the ordered pairs: {9, 10, 11, 12}. So, the range of the relation is {9, 10, 11, 12}.
Now, let's determine if the relation is a function or not. For a relation to be a function, each input value (x-value) must be paired with only one output value (y-value). In this case, we have multiple pairs with the same x-value 3, but different y-values. So, the relation is not a function because it violates the definition of a function.