Let D = {x| x is a state in the United States} be the domain, and let ƒ(x) = “the state capital” be the possible function. Determine if the relation is an examp

Question

Let D = {x| x is a state in the United States} be the domain, and let ƒ(x) = “the state capital” be the possible function. Determine if the relation is an example of a function

Answer 1

x = state

f(x) = capital

 

 

State is independent variable.  Capital is dependent variable. 

 

In order for this relationship to be a function, there can only be one dependent variable for each independent variable.  Since each state has only one capital, this relationship is a function.