# Rad Radicals!

## No matter what the variables *x* or *z* are, this statement will be true! However, the numerator of the algebraic fraction must be equal to 1.

__Examples:__

Pictured here are the functions when *z* = **3**:

### They both look exactly the same, don't they? That's because the 2 functions *collide,* which means that they're equal to each other!

But here's the 2nd example below!

I doubled *z* = **3** from the 1st example to make it equal to **6** in this example. If *z* is even, then the function will only print on the positive sides of the domain(based on *x*) & range(based on *y*). If *z* is odd, it'll also print on the negative sides.

## One more thing to explain before I conclude this Web page, the bigger the variable *z* is, the more the function's curves stretch out! Observe below:

The curves in gray represent the function when *z* = **3** versus when *z* = **21**.

The curves in gray represent the function when *z* = **6** versus when *z* = **24**. If I picked differences between *even vs. odd,* you would also see an extra gray curve on one side!

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© Derek Cumberbatch