Question

A study found that a student's grades are related to the amount of time spent on homework/studying. The relation was {(2, 85), (3, 90), (1, 76)}. Is this relation a function?

A) Yes
B) No

Answer 1

The given relation is a function because each input value maps to exactly one output value.

Step-by-step explanation:

The given relation {(2, 85), (3, 90), (1, 76)} is a function because each input value (x-value) maps to exactly one output value (y-value). In a function, no two different x-values can have the same y-value.

For example, in this case, 2 maps to 85, 3 maps to 90, and 1 maps to 76.

So the answer is A) Yes.