Even and Odd Functions

Ok sooo I did not really understand Even and Odd Functions before but after reading my fellow peers' Blogs about Even and Odd Functions, I had a better understanding of these functions.

So lets start, Even functions have to be symetrical about the y-axis.

Mathematically the function has to be f(-x)=f(x)

So for every input(x) that is negative has the same output as the one that is positive input(x)

That means that (-x,y)=(x,y)

Lets see, so if you were to make a horizontal line across the y value there should be point symetrically for the x value(- and +)

Most even exponents would give a Even Function(eg. a parabola=x^2)

Odd Functions are a bit different than Even Function

Odd functions have to be symetrical about the origin(across diagonally)

Mathematically the function has to be f(-x)= -f(x)

For me it is harder to explain Odd Functions but I will try

It would be easier to understand if you were to plot points so an example, if you have point of the function is (1,1) the symetrical point for the function should be (-1,-1)