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

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 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 2 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 0.
  • 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 −5 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 0.
 Dec 19, 2019
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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 −5 and crosses straight through the x-axis at 0.

 

cool cool cool

 Dec 19, 2019

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