# What is the graph of f(x) = -x^5?

Dec 16, 2014

It's the function that Jashey D. gave you.

To find this by hand, you would do this step by step. Start by thinking about how $f \left(x\right) = {x}^{5}$ looks. As a hint remember this: any function of the form ${x}^{n}$ where $n > 1$ and n is odd, will be similar in shape as the function $f \left(x\right) = {x}^{3}$. This function looks like this:

The higher the exponent ($n$) gets, the more stretched out it will get. So you know it will be this shape, but more extreme.

Now all you have to do is account for the minus sign.
A minus sign in front of a function results in a graph, that is mirrored horizontally.

So the function looks like ${x}^{3}$. It's more stretched out (like someone's pulling from above and below), and it's mirrored horizontally.