EASYVIT - VITEEE 2025
ApplyNational level exam conducted by VIT University, Vellore | Ranked #11 by NIRF for Engg. | NAAC A++ Accredited | Last Date to Apply: 7th April | NO Further Extensions!
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.
-
22 Questions around this concept.
Solve by difficulty
A function $f$ from the set of natural numbers to integers defined by $f(n)=\left\{\begin{array}{l}\frac{n-1}{2}, \text { when } n \text { is odd } \\ -\frac{n}{2}, \text { when } n \text { is even }\end{array}\right.$ is
The function is
Which of the following is the graph of an odd function?
JEE Main Session 2 Questions: April 3: Shift 1 | Shift-2 | April 2: Shift 1 | Shift-2 | Overall Analysis
JEE Main 2025: Mock Tests | PYQs | Rank Predictor | College Predictor | Admit Card Link
New: Meet Careers360 experts in your city | Official Question Papee-Session 1
Apply to TOP B.Tech /BE Entrance exams: VITEEE | MET | AEEE | BITSAT
$f(x)=\cos x, x \in \mathbb{R}$, is a/an
$f(x)=3 x-x^3, x \in \mathbb{R}$, is a/an
The function $f(x)= cos\left ( log\left (x+\sqrt{x^{2}+1} \right ) \right ) is$
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 = x2 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, $\mathrm{y}=\mathrm{x}+1$
Study it with Videos
Even and Odd Function"Stay in the loop. Receive exam news, study resources, and expert advice!"
Get Answer to all your questions
JEE Main Articles
Back to top