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We have that for the Question,it can be said that these the various <em>graphs</em> and polynomials have the following deductions
1)
Even degree
<em>Negative </em>leading <em>coefficient</em>
- Second graph
2)
Odd degree
Positive leading <em>coefficient</em>
- 1st Graph
3)
The end behaviour of the 14th diploma <em>polynomial </em>is that it will increase to infinity.
4)
The <u>polynomial</u> will have a tendency to infinity.
Generally
The end behavior of a <em>polynomial </em><u>gra</u>ph draws reference from the starting <em>direction </em>and its end direction or the <em>ends </em>of the x axis
Where
Graph 1
A Graph of even or odd degree bears the following lead co-efficient characteristics
Even
Odd
Therefore
- 1st Graph
Positive leading <em>coefficient</em>
Odd degree
- Second graph
<em>Negative </em>leading <em>coefficient</em>
Even degree
3)
Even Numbered degree <u>typically </u>have the <em>identical</em> 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 <em>coefficient </em>is positive, and a variety with an even exponent is additionally positive, end behaviour of the 14th diploma <em>polynomial </em>is that it will increase to infinity.
4)
The ninth degree polynomial as we have a leading <em>coefficient </em>and a abnormal exponent.
Then as x tends to infinity, the polynomial will have a <em>tendency</em> to terrible infinity. as x tends to -ve<u> </u>infinity, the <u>polynomial</u> will have a tendency to infinity.
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