PENGERTIAN RELASI, FUNGSI, DOMAIN,KODOMAIN DAN RANGE

Hello otakers, back with us on the brain-heart channel. In this video we will discuss the matter of understanding the relationship, function, domain, codomain, and also range. In learning about the collection, we actually already know what is called a relationship.

Relationship is a rule that connects members to a group with other members of the group Relationship can also be interpreted as a relationship between the original area or domain and the friend area or co-domain while functions are relationships between domains and co-domains that establish each member of the original area group

a collection of his friends' areas. Then what is meant by domain, codomain and range, including examples? Well, to understand what domain, codomain and range is, pay attention to the image below. Domain is the entire collection of the original area, where the domain is usually located on the left.

while for codomain is all members of the group of friends this codomain is usually located on the right side Well, for range, it is the result of the group in the friend area that is attached to the original group member Okay, now pay attention to the following example,

For example, R is the relation A to B, where A consists of 1, 2, 3, and 4, while B consists of 1, 3, and 5.

R is the relation of X - Y, with X being a member of the group A and Y being a member of the group B. Then determine the domain, codomain, and also the range of the R relation.

Okay, first we first draw the sum of A and B Then we determine the result by giving a arrow sign where A is less than B So 1 is less than 3 and 1 is less than 5 Then for 2 is less than 3 and 5

then for 3 less than 5 and 4 less than 5 then it can be known that the domain is 1, 2, 3, and 4 while for the codomain is 1, 3, and 5 for the range or member of the B group that has a pair of A groups is 3 and 5

Now let's discuss what is the difference between a relationship and a function The difference between a relationship and a function is located in how to attach a member of the assembly to its original area Every relationship is not necessarily a function, but every function is definitely a relationship What do you mean? Look at this image

The first image shows a relationship. The first image does not show a function because the domain area A has more than one pairs.

where for domain A, number 3 has pairs B and D. Then for the second image is a relation. Why not function? Because the domain A area has those who do not have pairs, namely in domain A number 2 does not have pairs in the B collection.

The third image is related to the relationship and function because the domain area A has a pair and is exactly one in the codomain B.

So, in the relationship of each member of the original area, you may have more than one partner or may not have a partner So it can be said that there is no special rule to attach each member of the original area to the friend area in the relationship

This rule is only based on the statement of the relationship. Meanwhile, in the function, each member of the original area is attached to a special rule. This rule requires each member of the original area to have a partner and only one partner is attached to his or her friend's area. Okay, now let's discuss one by one what is a relationship and function.

The first is relationship Every member of the original regional assembly can have more than one partner or may not have a partner at all The relationship of the two assemblies can be stated in three ways namely the Pan-Arm Diagram, the Cartesian Diagram, and the last is the parallel couple assembly

For more details, pay attention to the third difference above in the following example. The example is the pair of numbers if A consists of 1, 2, 3, 4, and 5 is half of the B collection, namely 1, 2, 3, 4, 5, 6, 7, 8,

9 and 10 Okay, we will discuss it with a panah diagram Panah diagram is the easiest way to state a relationship First, we form a pattern first from a relationship to a form of an image and shown in the form of an image of a panah direction that states the relationship from the member of the A group to the member of the B group

where from the example of the question is the sum of A is half of the sum of B then the result of the equation is as follows then for the Cartesian diagram

This Cartesian diagram is a diagram consisting of the x-axis and the y-axis. In the Cartesian diagram, the member of the group A is located on the x-axis, while the member of the group B is located on the y-axis. The relation that connects the group A to the group B is shown with a dot or a point, where from the example of the question is A is half of B.

then the result of the note or the point is as follows. The third way is the plural couple. A relationship that connects one couple to another can be made in the form of a plural couple. The way to write it is: the member of the A couple is written first, while the member of the B couple who becomes the couple is written second.

For example, like this, A half of B So the sum of the pairs in the order is 1 and 2, then 2 to 4, then 3 to 6, then 4 to 8, and 5 to 10 After discussing the relationship, now we will discuss the function

Function or measurement is a special relationship from the A group to the B group. By the rules, each member of the A group is assigned exactly one to the B group. All members of the A group or the original area are called domains, while all members of the B group or the friend area are called codomains.

The result of the measurement from domain to codomain is called the function range or the area of ​​the result. The same thing with the relation, the function can also be stated in the form of a vertical diagram, a series of pairs, and also a Cartesian diagram as an example in the previous relation.

The function can be noted with small letters such as f, g, h, i, etc. The function f equates the sum of a to the sum of b, then it is noted with f = a to b. An example of a function is the function f that equates a to b with the rule f = x to 2x + 2.

Now, next we will discuss how to read the function notation From the function notation, x is a domain member The function x^2x means that the function f is equal to x^2x So from the result x by the function f is 2x So you can make it a notation f = 2x

If the function f measures x to ax + b with x members of domain f, then the formula for function f is f in the x-th equal to ax + b. Now for more details, let's look at the example of the following function. It is known that f measures x to x squared + 3.

So, here we have the function f = x2 + 3 Then we will look for f , f , f , f , f , f = f + 3 = 12

Then for f is = 7 For f = 4 Then for f

0 squared plus 3 equals 3 then for f1 1 squared plus 3 equals 4 then for f2 2 squared plus 3 equals 7 the last one is f3 which is 3 squared plus 3 equals 12 after that, the result of the next fx can be stated in the red diagram

Cartesian Coordinates

otakers is a discussion of materials about function relations domain, codomain, and range I hope you can understand it well otakers for those of you who are still confused and have questions you can write the questions in the comments column below don't forget to keep playing the quiz and read the article only on our website utaatiaotak.com if you like this video

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