Yes.
domain
The domain is the first value, or the X value.
Not necessarily. x to sqrt(x) is a relation, but (apart from 0) the first component in each pair corresponds to two second components eg (4, -2) and (4, +2). The square root is, nevertheless, a relation, though it is not a function.
The two result sets bust each have the same number of columns and each pair of columns between the two must be of the same data type.
You cannot. There are seven numbers and you cannot pair an odd number of values.
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.
This is most often called the "range" of the relation. * * * * * Though more often the first coordinate is the DOMAIN and the second coordinate is the RANGE.
The INVERSE of any relation is obtained by switching the coordinates in each ordered pair.
The domain.
Range
Range
The domain is the set of the first number of each ordered pair and the range is the set of the second number.
A relation is any set of ordered pairs. A relation can be represented by: - an x-y graph with a dot for each ordered pair. - in set notation e.g. {(1,2), (2, 4), (3, 6)} - an arrow diagram. On the left is an oval containing the elements of the domain (x-values). On the right is an oval containing the elememts of the range ( y-values). For each ordered pair, an arrow is drawn from the x-value to y-value.
The domain is the first value, or the X value.
no
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.