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A function is an equation that gives a unique answer. A relation does not.

Example: y = 3x + 1 is a function. If I give you x, you can determine y. And that y is unique to that x. So if x = 1, you know y = 4. No other of x gives y = 4 as an answer. So y = 3x + 1 is a function.

Example: y = 4x2. So if I give you x = 1, y = 4. But y = 4 if I also give you x = -1. So y = 4x2 is not a function, it is a relation.

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Q: What are function and relation?
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Related questions

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.


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.


How do you know if a relation is a function?

relation and function are number that combine with number and neqative number to .


Is it true or false that a relation is a special type of function?

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


Is every relation a function?

No, not every relation is a function. In order for a relation to be a function, each input value must map to exactly one output value. If any input value maps to multiple output values, the relation is not a function.