PERBEDAAN FUNGSI INJEKTIF, SURJEKTIF DAN BIJEKTIF LENGKAP DENGAN CONTOH SOAL

Hello otakers, back with us on the Utak Ati channel, now in this material corner we will discuss the differences in the functions of injective, surjective and also bijective. Otakers, previously we have learned what is the understanding of the relationship, function, domain,

codomain and also range make sure you have watched our video so you don't miss it to discuss the material related to the characteristics of the following functions Okay, let's just go ahead and discuss what are the characteristics of the function function is grouped into three types namely injective, surjective and also bijective

The group is based on the nature What is the difference between the injective, surjective, and bijective functions? The differences of the three types can be seen in the following explanation The first we will discuss the injective function What is meant by injective? The injective function is the intu function or the one-one function

F function measures A to B, is called an injective function if the codomain member is only attached once to the domain member. In this injective function, the codomain area assembly members may not have a pair, but all the codomain members that are attached only have one, there must not be more than one.

For more details, pay attention to the following image. The first image shows the injective function, because the codomain member is only connected once with the domain member. The second image also includes the injective function, because the codomain member may not have a partner of no more than one.

Then, this third image shows that it does not include the injective function because there is a codomain that has more than one pair and there are two members who do not have a pair The second function is the surjective function or the onto function What does this surjective function mean?

This surjective function has characteristics, namely the codomain member can have more than one pair. However, what needs to be remembered is that there should be no unpaired codomain members. This surjective function is usually filled when the number of codomain members is the same or less than the number of domain members.

Pay attention to this image so that you can understand more about the nature of the surjective function. The first image shows the surjective function. Why is that? Because there is a codomain member only attached once with a domain member.

and the second image also shows as a surjective function because the codomain member can have more than one partner while the third image shows not as a surjective function because the codomain member does not have a partner

So for this surjective, for the B collection or codomain, it must have a pair. Okay, the third is the bijective function or one-one correspondence. What does this bijective mean? The bijective function is a combination of the injective function and the surjective function.

In this bijective function, all domain and codomain members must be attached to the same place. The opposite of the function of the injective and surjective functions is not necessarily the function or the measurement. However, the opposite of the function of the bijective function is also the function or the measurement. The function or measurement of the bijective can be seen from the following image.

The image shows as a bijective function because all domain members and codomains are attached one by one. To be more clear, let's discuss examples of injective, surjective, and bijective.

The example is, mention each of the properties of the following functions. With A consisting of -2, -1, 0, 1, and 2 as domains. While for B consisting of 0, 1, 2, 3, 4, and 5 as codomains. Then determine the first,

f = x + 3 the second f = x squared well we will answer the first question first it means here there is a function f = x + 3 so first we look for the range f where f is -2 -1

0, 1, and 2 So, f = = 1 For f = = 2 Then, for f = = 3 Then, for f = = 4

then for f2, 2 + 3 = 5 so the range is -2.1, -1.2, 0.3, then 1.4 and 2.5. Now, if the result of the range is described in the red diagram,

from the results seen in the panah diagram shows that the results are included in the injective function because there is one codomain member or B who does not have a partner in the domain area or A besides that, the other reason is that the codomain member is only paired once with the domain member

and the result is not included in the surjective function because there is one member of the codomain or B who does not have a partner in the domain area or A Now let's answer the next question

where from this question it means there is a function f = x^2 then we will find the range f where f = -2 -1 0 1 2 so f = -2^2 = 4

Then for F-1 = -1^2 = 1 Next for F0 = 0^2 = 0 Then F1 = 1^2 = 1 And the last is F2 = 2^2 = 4 So the range is -2.4 -1.1 0.0

1.1 and 2.4. Now, if the result of the range is described in the panah diagram, the panah diagram shows that it does not include the injective function because the members in the codomain area or B have more than one pair in the domain area or A

Then the image also shows that it does not include the subjective function because there are three members of the codomain area or B that are not partners in the domain section or A. Well, the image is certainly not included in the subjective function.

Why is that? Because it doesn't fit all the members in one place. So the conclusion of the picture is not a function. How about you, Otakers? Do you understand the difference between the injective, surjective, and bijective functions?

If you don't understand, you can ask it in the comments column below. Hopefully this material can help you understand the difference between the three types of functions. Don't forget to read the article and play the quiz only on our website utaatiota.com

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