Find the best tutors and institutes for Class 12 Tuition

Find Best Class 12 Tuition

No matching category found.

No matching Locality found.

Outside India?

Search for topics

# What is meant by odd and even function ?

Odd function : f(x)= -f(-x) Even function : f(x)=f(-x)

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:...
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

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....
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

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:...
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

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.

Having 12+ years of experience in online and offline teaching

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

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...
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

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.

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.

Related Questions

26/10/2018
141

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

Related Lessons

To Get Success
ONLY TRY TO BECOME A MAN OF VALUES.....

Ashish Sahu | 21/10/2020

Basic Accounting Procedures – II Journal
I. Journalise the following Transactions – Chapter 4 (Book Examples) Jan 1, 2004 – Saravanan started the business with Rs. 1,00,000. Jan 3, 2004 – Received cash from Balan Rs. 25,000 Feb...

Alex J | 04/08/2020

Introduction to Chess
Chess is a game played on 64 square board which is a combination of two colours, usually black and white (nowadays different colours chess boards are available like green and white, yellow and brown). The...

Sahil Maurya | 12/06/2020

Find Class 12 Tuition near you

Looking for Class 12 Tuition ?

Find best Class 12 Tuition in your locality on UrbanPro.

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you
X

### Looking for Class 12 Tuition Classes?

Find best tutors for Class 12 Tuition Classes by posting a requirement.

• Post a learning requirement
• Get customized responses
• Compare and select the best

### Looking for Class 12 Tuition Classes?

Find best Class 12 Tuition Classes in your locality on UrbanPro

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more