Question

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

Answer 1

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(x) = 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(x) = 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.