Question

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

Answer 1

`+x` goes to `+oo`, whereas `-x` goes to `-oo`

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 `+oo` and `-oo`

work:

from `+x`, the graph goes to `+oo`. whereas from `-x`, the graph goes to `-oo` form the point `(-2, 2)`