Read the given scenarios. Determine if it is a function or not a function.(4 points)

Question

Function Not a Function
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

Let's analyze each scenario to determine if it represents a function or not:

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

   • This is a Function. 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. Multiple students could share the same age and yet be in different grade levels. Thus, a single age (input) could potentially map to multiple grade levels (outputs).

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. The same graduation year could yield multiple students with different salaries, leading to multiple outputs for the same input.

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

   • This is Not a Function. Many people might share the same birthday but have different numbers of TVs, so the same input can lead to multiple outputs.

To summarize:

• Function: Student ID to student age.
• Not a Function: Ages to grade level; Graduation year to current salaries; Birthday to number of TVs.