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 tv’s in your house

Answer 1

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

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

   • Is it a function? Yes, each unique student ID number corresponds to exactly one student age.

2. Input: ages of students in class; Output: grade level of students in class

   • Is it a function? No, because multiple students of the same age can be in different grades. An age could correspond to more than one grade level.

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

   • Is it a function? No, because multiple students graduating in the same year could have different current salaries. The output is not uniquely determined by the input.

4. Input: your birthday; Output: number of TVs in your house

   • Is it a function? No, because someone with the same birthday as you could have a different number of TVs in their house. Your birthday does not guarantee a specific number of TVs.

In summary:

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