SOLUTION: What is the end behavior of the graph of the polynomial function y = 10x9 – 4x?
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Question 883558: What is the end behavior of the graph of the polynomial function y = 10x9 – 4x?
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Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.
The degree and the leading coefficient of a polynomial function determine the end behavior of the graph.
The leading coefficient is significant compared to the other coefficients in the function for the very large or very small numbers. So, the sign of the leading coefficient is sufficient to predict the end behavior of the function.
if you have
, Degree is an odd number (), Leading Coefficient is an even positive number (),
so, the end behavior of the function is:
as , and
as
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