Read the given scenarios. Determine if it is a function or not a function.(1 point) Function Not a Function Input is Student ID number. Output is student age. Function – Input is Student ID number. Output is student age. 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. Function – 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 – 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. Function – Input is the year a group of students graduates from high school. Output is a list of their current salaries. Not a Function – 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. Function – Input is your birthday. Output is number of TVs in your house. Not a Function – Input is your birthday. Output is number of TVs in your house.
Function - Input is Student ID number. Output is student age.
Function – The teacher surveys the class. The input is the ages of students in class. The output is the grade level of students in class.
Function – Input is the year a group of students graduates from high school. Output is a list of their current salaries.
Not a Function – Input is your birthday. Output is number of TVs in your house.
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.
Not a Function:
1. Input is your birthday. Output is number of TVs in your house.
To summarize:
Functions: 3 scenarios
Not a Function: 1 scenario
In order to determine whether each scenario is a function or not a function, we need to understand what a function is.
A function is a relationship between two sets of numbers, where each input value corresponds to exactly one output value. In other words, for every unique input, there can only be one unique output.
Let's analyze each scenario:
1. "Input is Student ID number. Output is student age."
This scenario is a function because each student ID number corresponds to a unique 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."
This scenario is also a function because each student's age corresponds to a specific grade level.
3. "Input is the year a group of students graduates from high school. Output is a list of their current salaries."
This scenario is a function since each graduation year corresponds to a unique list of current salaries for the students.
4. "Input is your birthday. Output is the number of TVs in your house."
This scenario is not a function because your birthday can have multiple outputs (number of TVs in your house) depending on various factors. For example, your family might add or remove TVs over time, resulting in different outputs for the same input.
To summarize:
- Scenario 1: Function
- Scenario 2: Function
- Scenario 3: Function
- Scenario 4: Not a Function