Question

How do you graph `f(x)=-x^3` using zeros and end behavior?

Answer 1

As shown below:

Explanation:

The first thing to consider is how `-x^3` is just `x^3` reflected in the x axis:

We can sketch `x^3` : as `x->oo, x^3 -> oo`
as `x->-oo, x^3->-oo` as if `mu` is negative, then `mu^3` is also negative

Now we can cosnider the 'zeros', so hence: `x^3 = 0 => x = 0`

Hence `x^3`: graph{x^3 [-10, 10, -5, 5]}

Reflecting: `-x^3`:

graph{-x^3 [-10, 10, -5, 5]}