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Even and Odd Function - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

Quick Facts

  • Even and Odd Function is considered one the most difficult concept.

  • 11 Questions around this concept.

Solve by difficulty

A function f from the set of natural numbers to integers defined by

is

The function f\left ( x \right )= \log \left ( x+\sqrt{x^{2}+1} \right ) is

Concepts Covered - 1

Even and Odd Function

Even function:

If for a function f(x), f(-x) = f(x) then the function is known as even function. Even functions are symmetric about the y axis.

 

         

            y = x                                           y = |x|                                              y = cos(x)

 

Odd function:

If for a function f(x), f(-x) = - f(x) then the function is known as odd function. Odd functions are symmetric about the origin.

              

                                y = sin(x)                                                           y = x3

 

NOTE: We can have functions that are neither even nor odd. Eg, y = x+1

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Even and Odd Function

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