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

Question

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

Answer 1

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

1. Input is Student ID number. Output is student age.

   • This scenario is a function because each student ID number corresponds to exactly one student age.

2. The teacher surveys the class. The input is the ages of students in class. The output is the grade level of students in class.

   • This is not a function because multiple students of the same age can be in different grade levels. Hence, the same input (age) could produce different outputs (grade levels).

3. Input is the year a group of students graduates from high school. Output is a list of their current salaries.

   • This is not a function because one year of graduation could correspond to multiple current salaries if there are multiple students in the group, hence different outputs for the same input.

4. Input is your birthday. Output is the number of TVs in your house.

   • This scenario is a function because each specific birthday corresponds to exactly one number of TVs in your house, assuming that this number is fixed for a person over time.

In summary:

1. Function
2. Not a function
3. Not a function
4. Function