# How do you sketch the general shape of f(x)=-x^3+3x^2-2 using end behavior?

Oct 16, 2017

$+ x$ goes to $+ \infty$, whereas $- x$ goes to $- \infty$

#### Explanation:

graph:
graph{x^3+3x^2-2 [-10, 10, -5, 5]}

What you need to find:

you need to find the end behavior of this graph from the $x$-axis to $+ \infty$ and $- \infty$

work:

from $+ x$, the graph goes to $+ \infty$. whereas from $- x$, the graph goes to $- \infty$ form the point $\left(- 2 , 2\right)$