Even fuction vs Odd function

Even Functions : These are in Reflectional symmetry That is :

The Left one , here
f(-x) = f(x)

Odd functions : These are symmetrical within the origin That is:

The Right one , here
f(-x) = -f(x)

Thanks and have a nice day ahead

how are they even or odd please?

what do u mean ? please elaborate ur question.

odd and even functions explains like you. I understood odd and even numbers; but still cannot makeout why a function should be odd or even.

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The derivative of an even function is odd, and the derivative of an odd function is even. The next of an even number is odd and the next of an odd number is even.

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it is just named as 2 different branches of function . the result could be anything but more important is that LHS = RHS