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

Question

Input 8s student ID. Output is student age.
The teacher serveus 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 the list of their current salaries.
Input is your birthday. Output is number of TVs 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. A function cannot have the same input yielding different outputs.

1. Input: student ID; Output: student age

   • This is a function. Each student ID corresponds to exactly one student, and therefore one age.

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

   • This is NOT a function. Multiple students can have the same age, but they could be in different grade levels, leading to the same input (age) resulting in different outputs (grade levels).

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

   • This is NOT a function. Different students who graduate in the same year may have different salaries, so the same input can yield multiple outputs.

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

   • This is NOT a function. People with the same birthday can have a different number of TVs in their houses, leading to the same input yielding different outputs.

In summary:

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