Question

Which statement describes the graph of this polynomial function?

Answer 1

we have

$f(x)=x^5 - 6x^4 + 9x^3$

using a graphing tool

see the attached figure

The graph crosses the x axis at $x=0$ and touches the x axis at $x=3$.

therefore

the answer is the option

The graph crosses the x axis at $x=0$ and touches the x axis at $x=3$.

Answer 2

This equation represents a polynomial that crosses the x axis at x = 0

It also touches at x = 3. I included an attachment of the graph.

Your best answer choice is the first one!

Hope that helps!