Which statement describes the graph of this polynomial function?

Asked by maham237 @ 22/12/2020 in Mathematics viewed by 325 People

Which statement describes the graph of this polynomial function?
f(x)=x^5 - 6x^4 + 9x^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.

Answered by maham237 @ 22/12/2020

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 $x=3$ .

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