Question

Use the Leading Coefficient Test to determine the end behavior of the graph of the polynomial whose equation is
f(x) = -3x5 -3x2 + 3x + 4

Answer 1

Hmm I'm not exactly sure what the `Leading Coefficient Test` is.
But I assume it has something to do with this.

Here's a quick refresher on how the ends of polynomials look.

If the highest degree of x is `Even`; x^2, x^4, ...
then the ends of the graph will look something like this,Both branches going up in the same direction.

If the coefficient on this leading term is a `negative value` then instead both branches will go DOWN.

Answer 2

Here is what x^3, an odd function, looks like:See the behavior on the ends?
Both branches are going opposite directions.