We have that for the Question,it can be said that these the various graphs and polynomials have the following deductions
1)
Even degree
Negative leading coefficient
2)
Odd degree
Positive leading coefficient
3)
The end behaviour of the 14th diploma polynomial is that it will increase to infinity.
4)
The polynomial will have a tendency to infinity.
Generally
The end behavior of a polynomial graph draws reference from the starting direction and its end direction or the ends of the x axis
Where
Graph 1
[tex]f(x)= -\infty (Left)\\\\f(x)= +\infty (Right)[/tex]
A Graph of even or odd degree bears the following lead co-efficient characteristics
Even
[tex]f(x) -> \infty \ as x -> \pm \infty \\\\f(x) -> -\infty \ as x -> \pm \infty[/tex]
Odd
[tex]f(x) -> -\infty \as x -> - \infty\\\\f(x) -> \infty \ as x -> \infty[/tex]
Therefore
Positive leading coefficient
Odd degree
Negative leading coefficient
Even degree
3)
Even Numbered degree typically have the identical give up behavior for the two ends. This his due to the fact that if N is a entire number,
-A^2=A^2
Due to the fact the Leading coefficient is positive, and a variety with an even exponent is additionally positive, end behaviour of the 14th diploma polynomial is that it will increase to infinity.
4)
The ninth degree polynomial as we have a leading coefficient and a abnormal exponent.
Then as x tends to infinity, the polynomial will have a tendency to terrible infinity.
as x tends to -ve infinity, the polynomial will have a tendency to infinity.
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