Answer:
- The domain of is : {student}
- The range of is : {High Test Score, Low Test Score}
- is a function because each student corresponds to one element of the range.
Step-by-step explanation:
Here are important things for a relationship to be a function:
- Every element in X is related to some element in Y.
- A function cannot have one-to-many relationship.
- A function must contain single valued
In the giving diagram of the question, it is clear that:
- Each student corresponds to one element of the range: High Test Score or Low Test Score.
Therefore, is a function.
As domain of a function is the set of all the x-values of a ordered pair.
So,
The domain of is : {student}
And range of a function is the set of all the y-values of a ordered pair.
So,
The range of is : {High Test Score, Low Test Score}
Therefore, from the above discussion we conclude that is a function because each student, or each element of the domain of the function corresponds to one element of the range.
Keywords: function, domain, range, relation
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