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

Dec 13, 2017

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 $x \to \infty , {x}^{3} \to \infty$
as $x \to - \infty , {x}^{3} \to - \infty$ as if $\mu$ is negative, then ${\mu}^{3}$ is also negative

Now we can cosnider the 'zeros', so hence: ${x}^{3} = 0 \implies x = 0$

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

Reflecting: $- {x}^{3}$:

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