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The domain is all the first coordinates in a relation. A relation is two ordered pairs.
The range
The set of all the x-coordinate is called The Range. * * * * * Though more often, the x-coordinates are called the DOMAIN (and the y-coordinates are the RANGE).
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.
Relations and functions are very closely related. While all functions are relations, not all relations are functions. That's because functions are a special subset of relations. You can think of a relation as a set containing pairs of related numbers. For example, {(0,0), (1,1), (2,4), (3,9), (4,16)}represents a relation. There are five pairs of numbers. In each pair, the values of the second numbers (known as the range) are dependent upon the values of the first numbers (known as the domain). You can also think of the first number in each pair to be the x value and the second number to be the y value. In other words, y is dependent upon x. So, what makes a relation a function? For a relation to be a function, there must be one and only one y value for each x value. If there are two pairs of numbers that have the same x value but different y values, then the relation is NOT a function. In the above example, the domain is between zero and four, inclusive. Because each x value is unique and has only one corresponding y value, the relation is, in fact, a function. The function is y = x2, which can also be written f(x) = x2.
The domain is all the first coordinates in a relation. A relation is two ordered pairs.
The range
Function is a special case of relation. It means function is a relation but all relations are not functions. Therefore all functions are relations.
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.
No.
Yes.
The set of all the x-coordinate is called The Range. * * * * * Though more often, the x-coordinates are called the DOMAIN (and the y-coordinates are the RANGE).
Because a function has additional restrictions, which the relation may, or may not, satisfy.
The Range is the set of all possible output values of a function or 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.
A relation is when the domain in the ordered pair (x) is different from the domain in all other ordered pairs. The range (y) can be the same and it still be a function.
Yes, but all relations are not functions.