Which statement describes the graph of this polynomial function?

f (x) = x Superscript 5 Baseline minus 6 x Superscript 4 Baseline + 9 x cubed
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.

The correct statement is: The graph crosses the x-axis at x = 0 and touches the x-axis at x = 3.