Not every relation is a function. But every function is a relation. Function is just a part of relation.
A function is a relation whose mapping is a bijection.
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.
No. A relation is not a special type of function.
y² = x --> y = ±√x Because there are *two* square roots for any positive number (positive and negative) this will not be a function.
Not every relation is a function. But every function is a relation. Function is just a part of relation.
No, a function must be a relation although a relation need not be a functions.
Does the graph above show a relation, a function, both a relation and a function, or neither a relation nor a function?
yes.
A function is a relation whose mapping is a bijection.
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.
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.
No. A relation is not a special type of 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.
A relation is a function if every input has a distinct output.
y² = x --> y = ±√x Because there are *two* square roots for any positive number (positive and negative) this will not be a function.
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.