 ## Even vs. Odd Functions: Difference and Comparison

If f of x is the same as f of x for all the values of x, then a function is an even function. The function is the same for both the positive and negative x-axis.

If you end up with the exact same function that you started with, and all of the signs are the same, the function is even.

## What is an odd function?

The origin of the odd function’s graph will be symmetrical. The function on one side of the x- axis is symmetric about the origin.

## What is an example of an even function?

f(x) + f(x) is an even function for any function. Two even functions have the same sum or difference. The multiple of an even function is the same function as before. The product is the same as the other function. x2 cos(x) is an even function where x2 and cos x are not exactly the same.

## What is even function?

If f of x is the same as f of x for all the values of x, then a function is an even function. The function is the same for both the positive and negative x-axis. The even function is an example of an even function.

## Which function is both odd and even?

Functions won’t be odd or even. If you can imagine folding the graph along the y- axis, you can see if the function is even. The function is even if it has folded onto itself.