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This lesson is not easy for me si i research  it to understand it totally.

Mylene balase
G11-Palawan

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These discussion might have the difficulties by its better to manage abd understand.

Mylene balase
G11-Palawan

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For me, this lesson is difficult so i study hard ti really understand it.

Mylene balase
G11-Palawan

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At first sight, i thought it could be hard as stone, but as i study it well, i can say it kind a litte bit of easy

Mylene balase
G11-Palawan

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Introduction to function is easy to understand as long as you read the module and study it

Mylene balase
G11-palawan

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This lesson is not easy for me so I research it to understand it totally.

Clivee Dawn Serdan
G11-Camiguin

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This lesson is a little bit difficult but if you study hard you can understand it

Clivee Dawn Serdan
G11-Camiguin

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For me,this lesson is difficult so I study hard to really understand it.

Clivee Dawn Serdan
G11-Camiguin

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At first, I thought it's hard to understand this lesson but if you study hard you can say it's a little bit easy.

Clivee Dawn Serdan
G11-Camiguin

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Introduction to function is easy to understand as long as you read the module and study it.

Clivee Dawn Serdan
G11- Camiguin

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The formula have  a kind of difficulties but the lesson is little bit hard.

Marydelle Cabaluna
Grade 11 Siquijor

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In these activity is a little bit of difficult and when it comes to cirtual it is kind of easy.

Marydelle Cabaluna
Grade 11 Siquijor

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In time of my study,it is hard to not getting learning but i determine to understand.

Marydelle Cabaluna
Grade 11 Siquijor

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At first sight, i thought it could be hard as stone ,but as i study it well, i can say it kind a little bit of easy.

Marydelle Cabaluna
Grade 11 Siquijor

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function is a mathematic understanding that makes me the any kind of measurement.

Marydelle Cabaluna
Grade 11 Siquijor

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Its is easy to understand but it hard to study.

Darryl mae S. Magsayo
grade11 siquijor

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These discussion might have the difficulties by  its better to manage and understand.

Darryl mae S. Magsayo
grade11 siquijor

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To compose  a function its hard to study,i be better to understand it.

Darryl mae S. Magsayo
grade11 siquijor

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in first stage,this discussion is kind of little bit difficult but it also a kind bit of easy.

Darryl mae S. Magsayo
grade11 siquijor

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function is a variable that has a understanding the quality of measurement.

Darryl mae S. Magsayo
grade11 siquijor

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Its difficult, like its really difficult specially b'coz its all about algebraic fraction and I'm not good at fraction solving, but when it discussed and I research some examples, I've understand little about this but still there is difficulties remains on me depends on the problem

Maybril Tingson
XI–Siquijor

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I found it much easier than those difficult topics I've been encountered but its little bit hard somethimes depends on problems

Maybril Tingson
XI–Siquijor

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There is tiny piece of difficulty with this at first and when it discussed properly by Sir Sid on Gmeet, I kinda understand the difficulties bothering on me

Maybril Tingson
XI–Siquijor

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This one was kinda hard for me at first but little by little I've finally understand everything about this

Maybril Tingson
XI–Siquijor

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Function was not that totally difficult to understand for me, because I've been analyze this one when I was in HS

Maybril Tingon
XI-Siquijor

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This lesson is not too difficult but when it comes to formula i found it a litte hard.

Jhe lyka J. Calisagan
G11-SIQUIJOR

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for me it is difficult but when you learn the lesson it's not that hard.

Jhe lyka J. Calisagan
G11-SIQUIJOR

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its a little bit difficult but everytime i read/study the examples it's already easy to understand.

Jhe lyka J. Calisagan
G11-SIQUIJOR

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at first, i thought it was a hard lesson,but when it was discussed i already understand it.

Jhe lyka J. Calisagan
G11-SIQUIJOR

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function is not too difficult to learn because i already learned this lesson  in high school.

Jhe lyka J. Calisagan
G11-SIQUIJOR

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For me it is easy to understand this lesson but sometimes its hard when formula is difficult

Mae Angela Bugay
G11-SIQUIJOR

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In these lesson its a little bit difficult but when you attend the virtual classes its a big help to me

Mae Angela Bugay
G11-SIQUIJOR

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For me it is difficult but with the help module l still manage to answer

Mae Angela Bugay
G11-SIQUIJOR

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It is a little bit hard,but when it was discussed l already understand

Mae Angela Bugay
G11 SIQUIJOR

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Function is easy to understand because l already learned this in high school

Mae Angela Bugay
G11 SIQUIJOR

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its difficult but I got it right sometimes. For now
I'm still learning these lesson.

Ahron A. Badili
G11-Siquijor

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I Had learned these lesson in grade 9, but I'm still learning a
lot about evaluating of functions

Ahron A. Badili
G11-Siquijor

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these lesson is a bit complicated, but when you learn the lesson, its not that hard really.

Ahron A. Badili
G11-Siquijor

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its a little difficult, but when I listen I can learn the lesson
yet I'm still studying these lesson.

Ahron A. Badili
G11-Siquijor

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introduction to Functions

these lesson is easy to understand because these lesson was taught in high school.

Ahron A. Badili
G11- Siquijor

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Rational function is easy in our example or in our given module rather, but unfortunately in our given task... Its super duper hard!! Because its already a fraction na.. How can be that possible? Hehe but still I've fight I never stop to get the answer. And I'm not sure if that was correct Sir but I believe in my IQ. Thank you Sir Cid for giving us the best quality of education amidst the crisis! And thank you for your compassion and dedication! Indeed math is fun with you. I'm John Necholas Hataas from grade 11, section Siquijor.

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This is super beautiful! I've seen the beauty of mathematics through this, this is the greatest lesson so far! I understand it super easy I'd not have any questions to ask about this activity for all of the activities is fun and incredible! Thank you Sir! For allowing us to see and experience mathematics easy and to be a great thinker.. I can now say I'm a Mathematician and my next goal is to be like my granda, Rene Descartes. (I guess he is the father of Algebra and Geometry hmmm.. Hehe not sure about it. ) I know I can be like him because I have the power of hardwork and determination and nothing is impossible with God and positive attitudes. Thank you Sir! John Necholas Hataas from the section home of beauties and brains,my beloved Siquijor!

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Composition of function is really so easy!!! And now I'm in love with it...  The 5 items is very much easy to answer hehehe! Not so difficult for me in this round but most of my classmates see this hard but hmmm.. Very much easy for me as long as you attend the virtual class and syur you can answer all of it! With confidence and courage hehe.. This is John Necholas Hataas from the home of champions, beauty and intelligents. Siquijor!
Dalaygon ang Dios!

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Operations of functions is one of the best lesson for me. I understand it all and it's very much uncomplicated. So far I still have in my vocabulary about this.... This is the best for me, not just a best but the best of best! Hoping for the limited f2f classes Sir Cid! I know you're one of the best teacher there in Lugait SHS and I'm very much blessed and honored to be as your student... I can't wait to be a product of yours!
From the Island land of fire Siquijor! I am John Necholas Hataas from grade 11 STEM..... Thank you!

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This Lesson was quite so easy for me to understand and I enjoy it so much! Because I already familiar with it since grade 8 in my basic Algebra. And then it's my favorite subject so far wayback in high school.. Hehehe!

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General Mathematics
Rational Function

It is difficult but with the help of google and modules I still manage to answer.

Jane G. Ganzan
G11- Batanes

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General Mathematics
Evaluation of function

I already learned this since high school but I forgot so reading the module and attending virtual classes is a big help.

Jane G. Ganzan
G11-Batanes

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General Mathematics
Composition of function

It is difficult but as long as you read the given module you'll understand.

Jane G.Ganzan
G11-Batanes

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General Mathematics
Operations of function

It is a little bit hard but thanks to google and module I survive.

Jane G. Ganzan
G11-Batanes

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General Mathematics
Introduction to function

Function is easy to understand because I already learned this since high school.

Jane G.Ganzan
G11-Batanes

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For me it is hard lesson but if you understand the given equation properly you can solve it, as easily as you think, my difficult solving in rational function is solving rational inequalities  if the given is difficult to solve.

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For me it is hard lesson but if you understand the given equation properly you can solve it, as easily as you think, my difficult solving in rational function is solving rational inequalities  if the given is difficult to solve.

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Armin Dave Temothy Q. Genovia Grade 11-Siquijor (STEM)

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(Rational equation)
For me its easy to understand this lesson but sometimes its a little bit difficult to solve the equation.

Ashley Nicole D. Velasquez
G-11 Batanes

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(Evaluation of function )
I know how to solved this equation because it was taught in my high school days.

Ashley Nicole D. Velasquez
G-11 Batanes

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(Composition og function)
In this lesson its not that difficult for me because looking at the example in the module its easy to understand.

Ashley Nicole D. Velasquez
G-11 Batanes

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(Operation of function)
In this lesson its quite difficult for me to understand and the explanation in the module is a little confusing .

Ashley Nicole D. Velasquez
G-11 Batanes

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For me this one is the simpliest one among the all lesson its because you just identify and no need to apply a formula to get your answer.

Mae Georgia Angela L. Sedenio
G11-BATANES

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General Mathematics (evaluation of function)

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General Mathematics (evaluation of function)

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Its not that hard for me because it was taught already in my high school days but i still make mistakes about the lesson.

Mae Georgia Angela L Sedenio
G11-BATANES

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General Mathematics (composition of functions)

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General Mathematics (composition of functions)

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This lesson is quite difficult for me and took a long time to understand but with the help of the virtual class i already knew the process on how to apply the lesson.

Mae Georgia Angela L Sedenio
G11-BATANES

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General Mathematics (operation of function)

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General Mathematics (operation of function)

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At first, i thought it was difficult but when it was discussed i already understand the lesson and know how to use it in different problems that is given.

Mae Georgia Angela L Sedenio
G11-BATANES

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I usually understand this topic just like to anlyz the graph but sometimes  it's hard when formula is difficult.
-Jonariafe P. Cuyaya
Grade 11 Batanes

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General Mathematics (introduction to function)

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General Mathematics (introduction to function)

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the introduction of function is not difficult because the definition that is provided in the module is easy to understand.

Mae Georgia Angela L Sedenio
G11-batanes

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I also struggle this lesson but I quite I understand naman.
-Jonariafe P. Cuyaya
Grade 11 Batanes

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It is easy to understand the introduction of function because, Functions are a relation between a set of inputs and a set of outputs .All functions are relations, but not all relations are functions.

Name:Ashley Nicole D. Velasquez
Grade & Section: G-11 Batanes

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In this lesson I've found it quite easy and also it was confusing nevertheless I had manage to answer it and also in this lesson I learned that rational function can be in a form [ f(x), g(x), h(x), i(x) ] and also I've learned that there are 3 different kinds of rational function which is the rational expression, rational equation, rational inequalities.

Joshua Emmanuel J. Geralde
Grade 11 STEM BATANES

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This topic is also difficult for me but when I understand later on I forget when I answer in my paper but I answer it already and I understand a little bit nah.
-Jonariafe P. Cuyaya
Grade 11 Batanes

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General Mathematics (Evaluation of Function)

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General Mathematics (Evaluation of Function)

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From my perspective out of all the lesson from lesson 2 to lesson 5 this was the easiest part just by looking at the examples it was easy to understand and I was thankful that I found it easy.

Joshua Emmanuel J. Geralde
Grade 11 STEM BATANES

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(OPERATION ON FUNCTION)
Jonariafe P. Cuyaya
Grade 11- Batanes

For me the operations on function is a little difficult but I've try my best to understand and I research it on internet so I have an idea of it.

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General Mathematics (Composition of Function)

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General Mathematics (Composition of Function)

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From my perspective I've found this lesson easy to understand, all I did was just looking through the examples that is in the module.

Joshua Emmanuel J. Geralde
Grade 11 STEM BATANES

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(INTRODUCTION OF FUNCTION)
Jonariafe P. Cuyaya
Grade 11- Batanes

Function is easy to understand and in this lesson I've learned that function is A relation for which each value from the set the first components of the ordered pairs is associated with exactly on value from the set of second components of the ordered pair.

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General Mathematics (Operation of Function)

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General Mathematics (Operation of Function)

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I've found this lesson quite difficult but I had manage to answer it through the help of the Module, Online class, YouTube, and Google

Joshua Emmanuel J. Geralde
Grade 11 STEM BATANES

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Rational function is not that very hard because i did some  research about it and also I try solve some problems.But sticking to deadline is already hard.

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Rational function is not that very hard because i did some  research about it and also I try solve some problems.But sticking to deadline is already hard.

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-Sheryl Quimno Cabrillos
-Grade 11 Batanes

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I struggle a lot with keeping up with this lesson but I still have motivation to study about it. I try to write down notes ,I also research about it and I think I understand it Naman. 

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I struggle a lot with keeping up with this lesson but I still have motivation to study about it. I try to write down notes ,I also research about it and I think I understand it Naman. 

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-Sheryl Quimno Cabrillos
-Grade 11 Batanes

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General Mathematics (Introduction to Function)

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General Mathematics (Introduction to Function)

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I've found this lesson easy to understand, all I did was just reading the definition of relation and function, and also determining the domain and range of the given ordered pair and identifying the ordered pair either it's a function or not

Joshua Emmanuel J. Geralde
Grade 11 STEM BATANES

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To be honest , operations of functions was quite challenging for me but I did some research to learn about this topic.

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To be honest , operations of functions was quite challenging for me but I did some research to learn about this topic.

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-Sheryl Quimno Cabrillos
-Grade 11 Batanes

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Introduction to functions are easy to understand because I already learn about it when I'm still in high school.

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Introduction to functions are easy to understand because I already learn about it when I'm still in high school.

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-Sheryl Quimno Cabrillos
-Grade 11 Batanes

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The solving part is so confusing sometimes but its easy if you understand it properly.

-SHENNA MAE DUMAGPI
-GRADE 11 - BATANES

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Its easy to read but it's difficult to solve.

-SHENNA MAE DUMAGPI
-GRADE 11 - BATANES

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I'm also having difficulties on understanding this topic but I still answered it.

-SHENNA MAE DUMAGPI
-GRADE 11 - BATANES

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I'm having some difficulties solving the problems but somehow while reading the modules I got the answers.

-SHENNA MAE DUMAGPI
-GRADE 11 - BATANES

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It's easy to understand the functions if you read the module and I did some research for me to understand it well:).

-SHENNA MAE DUMAGPI
-GRADE 11 - BATANES

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CHRYSTALE G. TAPDASAN
G11-BATANES/STEM

In this lesson we talk about Rational functions have a polynomial in the nominator and denominator. Learn to define and write rational functions, putting together all of their elements, including vertical and horizontal asymptotes.

•RATIONAL FUNCTION is a function that is a fraction and has the property that both it's numerator and denominator are polynomials. In other words,R(x) is a rational function if R(x)=p(x)/q(x) where p(x) and q(x) are both polynomials.

Equations that contain rational expressions are called rational equations. For example,
2x+1/4=x/3 is a rational equation.
Some examples of rational functions are:
y=x+2/x−2;y=1/x²;y=x/x−3

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GENERAL MATHEMATICS (EVALUATION OF FUNCTIONS)

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GENERAL MATHEMATICS (EVALUATION OF FUNCTIONS)

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CHRYSTALE G. TAPDASAN
G11-BATANES/STEM

EVALUATING FUNCTIONS

In this lesson I have learned about Evaluating a function means finding the value of f(x) =… or y =… that corresponds to a given value of x. To do this, simply replace all the x variables with whatever x has been assigned. For example, if we are asked to evaluate f(4), then x has been assigned the value of 4.
Example: Given that f(x) = 3x + 6, find f(2)

Solution: This means we will evaluate the function when x has been assigned the value of 2. The first step is to replace every x with 2. Then evaluate the function by following order of operations (BEDMAS).

f(x) = 3x + 6

So, we have :

f(2) = 3(2) + 6

        = 6 + 6

        = 12

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GENERAL MATHEMATICS (COMPOSITION OF FUNCTION)

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GENERAL MATHEMATICS (COMPOSITION OF FUNCTION)

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CHRYSTALE G. TAPDASAN
G11-BATANES/STEM

In this composition of functions I have learned about a function is like a machine. It performs a set of operations on an input in order to produce an output. Therefore, a composition of functions occurs when the output, or result, of one function becomes the input of another function.

For functions represented by f(x) or g(x), the composition would be represented by f(g(x)) or g(f(x)). It's important to know that f(g(x)) does not usually have the same value as g(f(x)), so order matters when calculating their composition. A general rule to keep in mind is to work from the inside out: the innermost function is the one that you should start with.

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GENERAL MATHEMATICS (OPERATIONS OF FUNCTIONS)

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GENERAL MATHEMATICS (OPERATIONS OF FUNCTIONS)

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CHRYSTALE G. TAPDASAN
G11-BATANES/STEM

In this chapter,I learn how to perform basic operations with functions--addition, subtraction, multiplication, and composition--as well as how to find the inverse of a function.

The first method involves substituting x for f (x), substituting f-1(x) for x, and isolating f-1(x). The second method involves graphing the function and reflecting it over the line y = x. All three methods of finding inverses are useful, and they can be used in combination to check each other.

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This is the Moderate Topic I have been Solving since it's not that hard to Get the inputs and Outputs.

-Elenith Feuna Caayupan
-Section: BATANES-STEM

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By Evaluating the function is kinda Complicated for me since my brain at that time is not functioning so well...But I still get to substitute the given problem.

-Elenith Feuna Caayupan
-Section: BATANES-STEM

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It was Okay and Since it was not hard to take the two functions.

-Elenith Feuna Caayupan
-Section: STEM-BATANES

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Based on what I've been through by Solving the Operations of Functions it was A very tough times for me since I did it well and Besides I've been focusing on what are the Problem solving.

-Elenith Feuna Caayupan
-Section:BATANES-STEM

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It was not hard to understand though it was easy to get the function.

-Elenith Feuna Caayupan
-Section BATANES-STEM

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GENERAL MATHEMATICS (INTRODUCTION TO FUNCTIONS).                                            

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GENERAL MATHEMATICS (INTRODUCTION TO FUNCTIONS).                                            

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CHRYSTALE G. TAPDASAN
G11-BATANES/STEM

•In this lesson I've learned that the FUNCTIONS are relation between a set of inputs and a set of outputs with the property that each input maps to exactly one output.

•RELATION is a pairing of input values with output values. It can be shown as a set of ordered pairs (x,y) where x is an input and y is an output.

(ILLUSTRATIVE)

"DOMAIN"

•The DOMAIN of a function is the complete set of possible values of the independent variable.

•The DOMAIN is the set of all possible x-values which will make the function "work", and will output real y-values.

"RANGE"

The RANGE of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.

ORDERED PAIR = (x,y)

  Where, x = abscissa, the distance measure of a point from the primary axis “x”

  And, y = ordinate, the distance measure of a point from the secondary axis “y”

TYPE OF RELATION

ONE-TO-ONE

•A ONE-TO-ONE function is a function in which the answers never repeat. A normal function can have two different input values that produce the same answer, but a one-to-one function does not.

ONE-TO-MANY

•Having the property that the same argument may yield multiple values, but different arguments never yield the same value

MANY-TO-ONE

•A MANY-TO-ONE relation associates two or more values of the independent (input) variable with a single value of the dependent (output) variable.

FUNCTION OR NOT A FUNCTION

A function is a relation in which each input has only one output.

In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.