Question

Read the given scenarios. Determine if it is a function or not a function.(4 points) 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 check whether each input corresponds to exactly one output.

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

   • This is a function because each student ID uniquely corresponds to one student's age.

2. 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.

3. 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.

4. 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:

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