Read the given scenarios. Determine if it is a function or not a function.

Question

Input is Student ID number. Output is student age.
The teacher surveys the class. The input is the ages of students in class. The output is the grade level of students in class.
Input is the year a group of students graduates from high school. Output is a list of their current salaries.
Input is your birthday. Output is number of TVs in your house.

Answer 1

To determine whether each scenario represents a function, we need to check if each input is associated with exactly one output.

1. Input: Student ID number. Output: Student age.

   • This is a function. Each student ID corresponds to exactly one age (assuming the ID numbers are unique).

2. Input: Ages of students in class. Output: Grade level of students in class.

   • This is not a function. A single age can correspond to multiple grade levels (e.g., 10-year-olds can be in 5th grade or 6th grade depending on the school system).

3. Input: 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 multiple students who have different salaries.

4. Input: Your birthday. Output: Number of TVs in your house.

   • This is likely a function (assuming each person has a consistent number of TVs that doesn’t change based on circumstances). However, if individuals can have different numbers of TVs based on various factors, then it may not be a function. For clarity, we'll consider it a function as long as each unique birthday corresponds to a specific number of TVs for that individual.

In summary:

1. Function
2. Not a function
3. Not a function
4. Function (assuming consistency per individual)