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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

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




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