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Consider the polynomial function g(x)=10x9−50x6−500x2g(x) = 10x^9 - 50x^6 - 500x^2. What is the end behavior of the graph of gg?

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Full solution

Q. Consider the polynomial function g(x)=10x9−50x6−500x2g(x) = 10x^9 - 50x^6 - 500x^2. What is the end behavior of the graph of gg?
  1. Identify term degree: Identify the highest degree term in the polynomial to determine the end behavior.
  2. Analyze coefficient and degree: Analyze the leading coefficient and the highest degree to predict the end behavior.

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