Question

determine whether the relation is a function. give the domain and range for the relation. {(1, 8), (1, 9), (1, 10)} the domain of the relation is {1}. (use a comma to separate answers as needed.) the range of the relation is {□}. (use a comma to separate answers as needed.)

Explanation:

Step1: Recall the definition of range

The range of a relation is the set of all the second elements (y - values) in the ordered pairs.

Step2: Identify the second elements

In the ordered pairs \((1, 8)\), \((1, 9)\), \((1, 10)\), the second elements are \(8\), \(9\), and \(10\).

Step3: Form the range set

So the range is the set containing these elements, which is \(\{8, 9, 10\}\). Also, to check if it's a function: A function is a relation where each input (x - value) has exactly one output (y - value). Here, the input \(1\) has three outputs (\(8\), \(9\), \(10\)), so it is not a function. But for the range, we just need the set of y - values.

Answer:

The relation is not a function. The domain is \(\{1\}\) and the range is \(\{8, 9, 10\}\)