Math Question
![Which statement describes the graph of this polynomial function?
\[
f(x)=x^{5}-6 x^{4}+9 x^{3}
\]
The graph crosses the \( x \)-axis at \( x=0 \) and touches the \( x \)-axis at \( x=3 \).
The graph touches the \( x \)-axis at \( x=0 \) and crosses the \( x \)-axis at \( x=3 \).
The graph crosses the \( x \)-axis at \( x=0 \) and touches the \( x \)-axis at \( x=-3 \).
The graph touches the \( x \)-axis at \( x=0 \) and crosses the \( x \)-axis at \( x=-3 \).](https://d3hlidq5bf9vg0.cloudfront.net/app-server-student/2022/3/28/540d91d4-456c-4ec4-a6e8-61b4f00a688b.png "Which statement describes the graph of this polynomial function?
\[
f(x)=x^{5}-6 x^{4}+9 x^{3}
\]
The graph crosses the \( x \)-axis at \( x=0 \) and touches the \( x \)-axis at \( x=3 \).
The graph touches the \( x \)-axis at \( x=0 \) and crosses the \( x \)-axis at \( x=3 \).
The graph crosses the \( x \)-axis at \( x=0 \) and touches the \( x \)-axis at \( x=-3 \).
The graph touches the \( x \)-axis at \( x=0 \) and crosses the \( x \)-axis at \( x=-3 \).")
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