ericklivingston
Answered

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Decide whether each of the following relations is a function. Explain your answer.
Input Outputs Functions?
(A) States Capitals
(B) States Cities
(C) Families Pets
(D) Families Last names

Sagot :

oladayoademosu

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:

https://brainly.com/question/15738866

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