Answer :
The functions are option (A) States Capitals and option (D) Families Last names
A function is a rule that determines the relationship between one variable and another. If we have a variable which we input into the relationship and gives a unique value for the other variable, the input value is the independent variable while the output is the dependent variable.
For an expression to be function, we must have a unique value of output for every value of input.
- So, for option A, States have a unique capital, so it is a function.
- For option B, States have many cities, so the output is not unique, so it is not a function.
- For option C, Families can have many pets, so the output is not unique. So, it is not a function.
- For option D, Families can have only one last name, so the output is unique. So, it is a function.
So, the functions are option (A) States Capitals and option (D) Families Last names
Learn more about functions here:
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