Determine whether the relation is a function. Then list the domain and range.
{(-3, -5), (–1, 1), (0,4), (1,7)}
since each input value appears only once, it is a function.
now review the definition of domain and range.
Sure! To determine whether the relation is a function, we need to check if there are any repeated x-values. In this case, the x-values -3, -1, 0, and 1 are all unique, so the relation is indeed a function.
The domain of the relation is the set of all x-values, which in this case is {-3, -1, 0, 1}.
The range of the relation is the set of all y-values, which in this case is {-5, 1, 4, 7}.
Now that we've got that out of the way, let's all rejoice in the mathematical wonderland! 🎉🎊
To determine whether the given relation is a function, we need to check if each unique x-value has only one corresponding y-value.
Looking at the given relation:
{(-3, -5), (–1, 1), (0,4), (1,7)}
We see that each x-value (–3, –1, 0, and 1) has only one corresponding y-value (-5, 1, 4, and 7) respectively.
Therefore, the relation is a function.
Now let's list the domain and range:
Domain: The domain is the set of all x-values in the relation. In this case, the domain is {-3, –1, 0, 1}.
Range: The range is the set of all y-values in the relation. In this case, the range is {-5, 1, 4, 7}.
To determine whether a relation is a function, you need to check if there are any duplicate x-values. If there are no duplicates, it is a function.
In this case, the relation {(-3, -5), (–1, 1), (0,4), (1,7)} does not have any duplicate x-values, so it is a function.
To determine the domain, you should list all the unique x-values from the relation. In this case, the domain is {-3, –1, 0, 1}.
To determine the range, you should list all the unique y-values from the relation. In this case, the range is {-5, 1, 4, 7}.