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A relation has pairs of numbers.

A function is a special relation where for each input there is one and only one output.

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Q: How do you define function and relation?
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What is the function of relation domain and range in mathematics?

A relation is a mapping from elements of one set, called the domain, to elements of another set, called the range. The function of the three terms: relation, domain and range, is to define the parameters of a mapping which may or may not be a function.


Define the unit step function and signum function bring out the relation between these two functions?

u(t)-u(-t)=sgn(t)


Is the relation a function?

Not every relation is a function. But every function is a relation. Function is just a part of relation.


Can you have a function that is not a relation?

No, a function must be a relation although a relation need not be a functions.


Which of these data sets represents a function?

Does the graph above show a relation, a function, both a relation and a function, or neither a relation nor a function?


Is a function always a relation and a relation always a function?

yes.


When does a relation be a function?

A function is a relation whose mapping is a bijection.


Is all relation a function?

Not every relation is a function. A function is type of relation in which every element of its domain maps to only one element in the range. However, every function is a relation.


A relation is a special type of function?

No. A relation is not a special type of function.


Can you define a function inside a function?

No. Functions should be defined separately. So you would not define a function within a function. You can define one function, and while defining another function, you can call the first function from its code.


How do you determine if a relation is a function?

A relation is a function if every input has a distinct output.


What is the difference between function and a relation?

Good question. A relation is simply that; any x-value to create any y-value. A function, however, cannot be defined for multiple values of x. In other words, for a relation to be a function, it must have singular values for all x within its domain.