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

To determine whether each scenario describes a function, we need to remember that a function is a relation where each input is associated with exactly one output.

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

   • Function: Each Student ID corresponds to a specific student, and hence a specific 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.

   • Not a Function: Multiple students of the same age can be in different grade levels, meaning one input (age) can correspond to multiple outputs (grade levels).

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

   • Not a Function: The same graduation year may apply to multiple students, all of whom may have different current salaries. Hence, one input (year) can correspond to multiple outputs (salaries).

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

   • Not a Function: Different people born on the same day might have different numbers of TVs in their houses, meaning one input (birthday) can correspond to multiple outputs (number of TVs).

Summary:

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