Home > Algebra calculators > Parity of a function example

10. Parity of a function example ( 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.


 
Copyright © 2024. All rights reserved. Terms, Privacy
 
 

.