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Mathematics, 07.01.2021 21:50 devin030505

Consider the polynomial function. f(x)=x^3 (x−2)^2 (x+5)

Which statements correctly describes the behavior of the graph of the function at its zeros?

The graph of the function crosses through the x-axis at 0 and behaves in a cubic fashion. The graph of the function touches and bounces off of the x-axis at −5 and crosses straight through the x-axis at 2.

The graph of the function crosses through the x-axis at 2 and behaves in a cubic fashion. The graph of the function touches and bounces off of the x-axis at 0 and crosses straight through the x-axis at −5.

The graph of the function crosses through the x-axis at 0 and behaves in a cubic fashion. The graph of the function touches and bounces off of the x-axis at 2 and crosses straight through the x-axis at −5.

The graph of the function crosses through the x-axis at 0 and behaves in a cubic fashion. The graph of the function touches and bounces off of the x-axis at −2 and crosses straight through the x-axis at 5.

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Consider the polynomial function. f(x)=x^3 (x−2)^2 (x+5)

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