Read the given scenarios. Determine if it is a function or not a function
1. Input is Student ID number. Output is 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.
3. Input is the year a group of students graduates from high school. Output is a list of their current salaries.
4. Input is your birthday. Output is number of TVs in your house.
A. Function
B. Not a function
1. Function
2. Not a function
3. Function
4. Not a function
1. Function
2. Function
3. Not a function
4. Not a function
To determine if the given scenarios are functions or not, we need to understand the definition of a function. In mathematics, a function is a relationship between a set of inputs (called the domain) and a set of outputs (called the range) with the property that each input is uniquely associated with exactly one output.
Let's analyze each scenario:
1. Input is Student ID number. Output is student age.
This scenario is likely a function because each unique Student ID number is associated with a unique student age. However, there could be exceptions if multiple students have the same ID number (which usually does not happen). Therefore, the answer is: A. Function.
2. The teacher surveys the class. The input is the ages of students in the class. The output is the grade level of students in the class.
This scenario is also likely a function as each age of a student is associated with a specific grade level. It follows the definition of a function, so the answer is: A. Function.
3. Input is the year a group of students graduates from high school. Output is a list of their current salaries.
This scenario is not a function because multiple students graduating in the same year may have different current salaries. Therefore, the answer is: B. Not a function.
4. Input is your birthday. Output is the number of TVs in your house.
Assuming that each person only has one birthday and one number of TVs, this scenario is likely a function as a unique birthday is associated with a unique number of TVs. However, if there are multiple people sharing the same birthday in a house, it would not be a function. Therefore, without additional information, the answer is: A. Function.
Note: The answers may vary depending on additional details or outliers that were not mentioned in the given scenarios.