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Q: What is an example of a function and a relation?
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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.


How does graphing the order pairs of a relation can help decide if the relation is a function?

If a relation can be called a function, it means that the relation maps every element to one and only one other element. If you have some ordered pairs and see that, for example, 1 maps to 4 (1,4) and 1 also maps to 7 (1,7) , you don't have a function.


A relation is a special type of function?

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


What makes a relation a function?

A relation is a mapping from one set to another. It is a function if elements of the first set are mapped to only one element from the second set. So, for example, square root is not a function because 9 can be mapped to -3 and 3.


How do you determine if a relation is a function?

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


Give an example of a relation that is NOT a function and explain why it is not a function?

y² = x --> y = ±√x Because there are *two* square roots for any positive number (positive and negative) this will not be a function.


What are function and relation?

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.