We use cookies to improve your experience on our site and to show you relevant advertising. By browsing this website, you agree to our use of cookies. Learn more   

AtoZmath.com
Support us
(New) All problem can be solved using search box
I want to sell my website www.AtoZmath.com with complete code
 
 
Home What's new College Algebra Games Feedback About us
Algebra Matrix & Vector Numerical Methods Statistical Methods Operation Research Word Problems Calculus Geometry Pre-Algebra
Home > Algebra calculators > Parity of a function example
10. Parity of a function example ( Enter your problem )
( Enter your problem )
  1. y=x^2+3x-4 Example-1
  2. y=(x+2)^2-9 Example-2
  3. y=3x^2+6x-1 Example-3
  4. y=3(x+1)^2-4 Example-4
 		Other related methods
  1. Domain of a function
  2. Range of a function
  3. Inverse of a function
  4. Properties of a function
  5. Parabola Vertex of a function
  6. Parabola focus
  7. axis symmetry of a parabola
  8. Parabola Directrix
  9. Intercept of a function
  10. Parity of a function
  11. Asymptotes of a function
9. Intercept of a function
(Previous method)		2. y=(x+2)^2-9 Example-2
(Next example)

1. y=x^2+3x-4 Example-1


1. y=x^2+3x-4, find Parity of a function

Solution:
y=x^2+3x-4

Parity :
Even Function : A function is even if f(-x)=f(x) for all x in R

Odd Function : A function is odd if f(-x)=-f(x) for all x in R

f(-x)=(-x)^2+3(-x)-4

f(-x)=x^2-3x-4

f(x)!=f(-x)

x^2+3x-4 is not an even function

-f(x)=-(x^2+3x-4)

-f(x)=-x^2-3x+4

f(x)!=-f(x)

x^2+3x-4 is not an odd function

:. x^2+3x-4 is neither even nor odd function

This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then Submit Here


9. Intercept of a function
(Previous method)		2. y=(x+2)^2-9 Example-2
(Next example)


Share this solution or page with your friends.
 
 
Home What's new College Algebra Games Feedback About us
 
Copyright © 2025. All rights reserved. Terms, Privacy
 
 

.