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.
Not a Function – Input is your birthday. Output is number of TVs in your house.
s the relationship graphed a function or not a function?
(1 point)
Responses
Yes, it passes the vertical line test.
Yes, it passes the vertical line test.
Yes, it passes the horizontal line test.
Yes, it passes the horizontal line test.
No, it fails the vertical line test.
No, it fails the vertical line test.
No, it fails the horizontal line test.
Yes, it passes the vertical line test.
Not a 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.
To determine if each scenario is a function or not, we need to see if each input value (student ID number, ages of students, year of graduation, and birthday) is associated with a unique output value (student age, grade level, list of current salaries, and number of TVs).
In the first scenario, the input of the student ID number is associated with the output of student age. Since each student ID number corresponds to a unique student age, this is a function.
In the second scenario, the input of the ages of students is associated with the output of grade level. Again, each age corresponds to a unique grade level, so this is also a function.
In the third scenario, the input of the year of graduation is associated with the output of a list of current salaries. It is possible for multiple students who graduated in the same year to have different current salaries, so this is still a function.
In the fourth scenario, the input of your birthday is associated with the output of the number of TVs in your house. However, your birthday does not necessarily determine the number of TVs in your house, as there can be other factors involved. Therefore, this is not a function.
In summary, scenarios 1, 2, and 3 are functions, while scenario 4 is not a function.