What is meant by odd and even function ?

Asked by Last Modified  

48 Answers

Follow 0
Answer

Please enter your answer

Educa Academy

Odd function : f(x)= -f(-x) Even function : f(x)=f(-x)
Comments
Dislike Bookmark

Odd function: in a function f(x) when you substitue (-x) for all 'X' and it gives an output as -f(x) Ex: In a function f(x) =x^3 if we substitute (-x) in place of x then f(-x) =(-x)^3= -x^3 which is nothing but -f(x) Even function: when we substitute (-x) in place of x output will be f(x) only. Ex:...
read more
Odd function: in a function f(x) when you substitue (-x) for all 'X' and it gives an output as -f(x) Ex: In a function f(x) =x^3 if we substitute (-x) in place of x then f(-x) =(-x)^3= -x^3 which is nothing but -f(x) Even function: when we substitute (-x) in place of x output will be f(x) only. Ex: f(x)=x^2 when we substitute (-x) in place of x:- f(-x)=(-x)^2= x^2= f(x). read less
Comments
Dislike Bookmark

Excellent Tutor

Algebraically, In a function f(x), if you substitute x with -x and end up with the same result, then f(x) is an even function. So, f(x) = f(-x). Implication of this fact is that if you draw a curve of f(x), it will be symmetric about the y axis. Similarly, if f(x)=-f(-x), then you have an odd function....
read more
Algebraically, In a function f(x), if you substitute x with -x and end up with the same result, then f(x) is an even function. So, f(x) = f(-x). Implication of this fact is that if you draw a curve of f(x), it will be symmetric about the y axis. Similarly, if f(x)=-f(-x), then you have an odd function. Such functions produce curves symmetric about the origin. read less
Comments
Dislike Bookmark

If a function is symmetrical about Y-AXIS it is a even function. Otherwise odd. Mathematically if F(-x)=F(x) is a even function. if F(-x)=-F(x) is a odd function
Comments
Dislike Bookmark

If f(-x)=-f(x) for all x belongs to domain of"f" then f is called as" odd function".Ex:sin(-x)=-sinx If f(-x)=f(x) for all x belongs to domain of "f" then f is called as "Even functin".Ex:cos(-x)=cosx.
Comments
Dislike Bookmark

Having 12+ years of experience in online and offline teaching

Odd symmetric about origin and even symmetric about y-axis.
Comments
Dislike Bookmark

Tutor

Hi, In simple terms, an odd function has a value - f(x) when x is less than 0 where f(x) being the output value for X greater than 0. Even function has a value f(x) for values greater than 0 as well as values less than 0.
Comments
Dislike Bookmark

Math Magician

Theoretically, a function f(x) can be termed as even if:- f(x)= f(-x) a function f(x) is termed as odd if:- f(x)= -f(-x) While graphically, if a function is symmetrical about X=0 that is Y-axis then the function is termed as Even function while if a function is symmetrical about Origin or in Opposite...
read more
Theoretically, a function f(x) can be termed as even if:- f(x)= f(-x) a function f(x) is termed as odd if:- f(x)= -f(-x) While graphically, if a function is symmetrical about X=0 that is Y-axis then the function is termed as Even function while if a function is symmetrical about Origin or in Opposite quadrants then the function is termed as Odd function. read less
Comments
Dislike Bookmark

Tutor

Which satisfy particular symmetry relations, with respect to taking additive inverses. They are important in many areas of mathematical analysis, especially the theory of power series and Fourier series. They are named for the parity of the powers of the power functions which satisfy each condition:...
read more
Which satisfy particular symmetry relations, with respect to taking additive inverses. They are important in many areas of mathematical analysis, especially the theory of power series and Fourier series. They are named for the parity of the powers of the power functions which satisfy each condition: the function f(x) = xn is an even function if n is an even integer, and it is an odd function if n is an odd integer. read less
Comments
Dislike Bookmark

Tutor.

If even function f(x)= f (- x) then it is called even function E.g.:- f( x ) = x^4 + x^2 - 2. f( -x)= (- x)^4 + (-x)^2 - 2= x^4 + x^2- 2 = f(x) If in function f (x), x is replaced by -x then we get then we called Odd function. Eg: f ( x)= x^3+x f(-x)= (-x)^3+ (-x) = -( x^3+x) it odd function.
Comments
Dislike Bookmark

View 46 more Answers

Related Questions

Which book is good for Class puc physics?
NCERT or H C Verma
Rajendra
There are 5 roads leading to town from a village. How many number of different ways in which a villager can go to the town and return back?
25.
Kumar Upendra Akshay
The semi-conductor diode has the property of __________. (one way conduction, two way conduction, zero conduction, none of these)
one way conduction
Narendra Kumar
0 0
View Comments6
May I know the membership cost of Urbanpro?
Just now I joined
Vidhya Vaibhava Education Institution
3 0
View Comments7
How many methods have to do integration?
Countless....
Suman

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

How To Prepare For Any Exam?
1. Prepare mentally yourself to give an exam. 2. Know the benifit of passing the exam it encourages you to do your best. 3. Never think about failure. 4. Be confident. 5. Watch and solve old papers. 6....
M

Mohit S.

1 0
View Comments0
Biology tips for PMT
Students focus on NCERT only ... It will make you get 300+marks in biology only .. Read each n every single line from NCERT n try to make questions .. it will help you to memorize things better.. solve...
S

Swapnil Bhagat

0 0
View Comments0
How to get good marks in exam without reading much?
For that your mind should be stable.Whatever you read that should fit in in your mind. This happens only in stable mind. For stable mind you have to meditate. Wake up early wash your face and sit in open...
K

Kushal Sharma

0 0
View Comments0
How Do Atoms Combine to Make Compounds?
Atoms combine with each other to form various compounds. The smallest unit of a substance which can exist independently is called a molecule. So, atoms combine with each other to form molecules. These...

Prabhat Patel

0 0
View Comments0
Money - Macroeconomic Class 12
Introduction - (MONEY DEFINITION , BATER SYSTEM CONCEPT AND ITS LIMITATION) Money and its function - Below video explains th functions of money. ( FUNCTION OF MONEY)

Lokesh Sinha

0 0
View Comments0

Recommended Articles

Meet Swati, a Hindi Tutor from Bangalore

Swati is a renowned Hindi tutor with 7 years of experience in teaching. She conducts classes for various students ranging from class 6- class 12 and also BA students. Having pursued her education at Madras University where she did her Masters in Hindi, Swati knows her way around students. She believes that each student...

Read full article >

Meet Raghunandan.G.H, a B. Tech Tutor from...

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

Read full article >

Meet Sandhya R, a B.Sc tutor from Bangalore

Sandhya is a proactive educationalist. She conducts classes for CBSE, PUC, ICSE, I.B. and IGCSE. Having a 6-year experience in teaching, she connects with her students and provides tutoring as per their understanding. She mentors her students personally and strives them to achieve their goals with ease. Being an enthusiastic...

Read full article >

Meet Mohammad Wazid, a skilled trainer for...

Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...

Read full article >

Find Class 12 Tuition near you
Class 12 Tuition in Delhi
Class 12 Tuition in Bangalore
Class 12 Tuition in Hyderabad
Class 12 Tuition in Chennai
Class 12 Tuition in Kolkata
Class 12 Tuition in Mumbai
Class 12 Tuition in Pune
Class 12 Tuition in Jaipur
Class 12 Tuition in Lucknow
Class 12 Tuition in Noida
Online Tuition Class 12

Looking for Class 12 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you