To determine whether each scenario describes a function, we need to check whether each input corresponds to exactly one output.
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Input: Student ID number; Output: student age
- This is a function because each student ID uniquely corresponds to one student's age.
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Input: the ages of students in class; Output: the grade level of students in class
- This is not a function. Multiple students with the same age can be in different grade levels.
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Input: the year a group of students graduates from high school; Output: a list of their current salaries
- This is not a function. The same graduation year can correspond to different salaries for different students.
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Input: your birthday; Output: number of TVs in your house
- This is not a function. Different people with the same birthday can have different numbers of TVs in their houses.
In summary:
- Function
- Not a Function
- Not a Function
- Not a Function