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Leading term test for polynomial end behavior :
The end behavior of any non-constant polynomial function can be described in one of the following four ways, as determined by the degree of the polynomial and its leading coefficient .
For odd and positive :
and .
For odd and negative :
and .
For even and positive :
and .
For even and negative :
and .
Observe the graph of the function :
The end behavior of the graph is and .
So the degree of the polynomial function is even and leading coefficient is negative.
is even and is negative.
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