Polynomials of High Degree

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Polynomials of High Degree
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As the degree of a polynomial function increase
it becomes more difficult to create and accurate
graph but here are some hints that will give us a
STRONG estimate of the graph.
Many polynomial functions can be divided into two
groups based on the highest degree of the
polynomial.
Highest degrees that are Even numbers are EVEN
functions.
Highest degrees that are odd numbers are ODD
functions.
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ODD FUNCTIONS
EVEN FUNCTIONS
Look similar to cubics. May have more curves/x
intercepts End behaviors are the same
Look similar to quadratics. May have more
curves/x intercepts End behaviors are the same
If a gt 0
If a gt 0
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ODD FUNCTIONS
EVEN FUNCTIONS
Look similar to cubics. May have more curves/x
intercepts End behaviors are the same
Look similar to quadratics. May have more
curves/x intercepts End behaviors are the same
If a lt 0
If alt0
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The degree of a polynomial tells you how many x
intercepts or roots a polynomial MAY have.
Relative MAXIMUM
Turning points
Relative MINIMUM
Turning points