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The problem is that functions have been defined so that the first member of the ordered pair is the argument and the second the value, and also vice versa (the other way around). It is absolutely arbitrary which definition you use. If you are used to the other one (as opposed to the definition I use), just swap the members of each pair). I prefer the first definition, with the first member being the argument, the number the function operates on; the second member is then the value of the function at that argument. So the set of first members is the domain, and the set of second members is the range. If a function is not 1-to-1, so that 2 arguments map to the same value, then you can have a smaller range than the domain (especially if the domain is finite), as in your case. For example, 2 squared is 4 and so is the square of -2. So the square function is not 1-to-1 (another term for a 1-to-1 function is injection). So consider the function "square of" restricted to the domain -2, 0, 2, 3, 4. The range is then 4, 0, 9, 16. Now here is where the definition comes in. As a set of ordered pairs, using my definition, you get (-2, 4), (0, 0), (2, 4), (3, 9), and (4, 16).

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How do you find the domain and range in ordered pairs?

To find the domain and range in ordered pairs, first, identify the set of all first elements (x-values) from each ordered pair for the domain. For the range, identify the set of all second elements (y-values) from the same pairs. For example, in the ordered pairs (2, 3), (4, 5), and (2, 6), the domain is {2, 4} and the range is {3, 5, 6}. Make sure to list each element only once in the final sets.


What are the first numbers in an ordered pair?

They are the elements from the first set in the original Carestian product. For example, if you make ordered pairs on an x-y plane, then they are the elements of the set X.


How do you find the range of ordered pairs?

To find the range of ordered pairs, identify all the second elements (y-values) in each ordered pair. List these y-values without duplication to obtain the range. For example, if the ordered pairs are (1, 2), (3, 4), and (5, 2), the range would be {2, 4}. This represents all the unique outputs (y-values) from the given pairs.


What is domein in algebra?

The domain is all the first coordinates in a relation. A relation is two ordered pairs.


What is a corresponding terms as ordered pairs?

Corresponding terms as ordered pairs refer to pairs of elements that are matched based on their positions in two related sequences or sets. For example, if you have two sequences, A = (a1, a2, a3) and B = (b1, b2, b3), the corresponding terms can be represented as ordered pairs: (a1, b1), (a2, b2), and (a3, b3). This concept is often used in mathematics to analyze relationships between different sets of data.

Related Questions

How do you find the domain and range in ordered pairs?

To find the domain and range in ordered pairs, first, identify the set of all first elements (x-values) from each ordered pair for the domain. For the range, identify the set of all second elements (y-values) from the same pairs. For example, in the ordered pairs (2, 3), (4, 5), and (2, 6), the domain is {2, 4} and the range is {3, 5, 6}. Make sure to list each element only once in the final sets.


What is represented by the first coordinates in a group of ordered pairs?

Domain


What are the first numbers in an ordered pair?

They are the elements from the first set in the original Carestian product. For example, if you make ordered pairs on an x-y plane, then they are the elements of the set X.


How do you find a domain and range of a relation given by a set of order pairs?

Describe how to find the domain and range of a relation given by a set of ordered pairs.


When is function a relation?

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.


How would you determine the domain and range from a list of ordered pairs?

The domain is the set of the first number of each ordered pair and the range is the set of the second number.


What is domein in algebra?

The domain is all the first coordinates in a relation. A relation is two ordered pairs.


Where do people use ordered pairs?

Ordered pairs are used in graphing, with the x axis first in the pair. Example: (5,7) (x,y)


What are the set of ordered pairs for y equals 0.1 x plus 1?

They are elements of the infinite set of ordered pairs of the form (x, 0.1x+1). It is an infinite set and I am not stupid enough to try to list its elements!


What is a set of ordered pairs is called?

A set of ordered pairs is a relation. Or Just simply "Coordinates"


What is the domain of the following list of ordered pairs (-1 2) (3 4) (0 -3) (1 -6)?

The domain is {-1, 0, 1, 3}.


What is the domain for the ordered pairs 2 -3 and -1 0 and 0 4 and -1 5 and 4 -2?

The domain is {-1, 0, 2, 4}.