SOLUTION: What is the end behavior of this graph? 2x^7-8x^6-3x^5-3 Is it, The end behavior is up and up. The end behavior is down and down. The end behavior is down and up. The end beha

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Question 671245: What is the end behavior of this graph?
2x^7-8x^6-3x^5-3
Is it, The end behavior is up and up.
The end behavior is down and down.
The end behavior is down and up.
The end behavior is up and down.
Please Advise.
Answer by Edwin McCravy(20063)   (Show Source): You can put this solution on YOUR website!
Rule for right and left end behavior of polynomial functions.

1.  Find the term with the largest exponent.
2.  If it positive, the right end behavior is UP ON THE RIGHT^
3.  If it negative, the right end behavior is DOWNN ON THE RIGHT^
4.  Find the largest exponent.
5.  If it even, the left end behavior is THE SAME as the right end behavior.
6.  If it is odd, the left end behavior is OPPOSITE that of the right end
    behavior

2x7 - 86 - 3x5 - 3

The term with the largest exponent is the first one, 2x7 
It is POSITIVE, so the right end behavior is up on the right.
The largest exponent is 7, which is ODD, so the left end behavior is
OPPOSITE of the right end behavior, which is DOWN on the left.

Edwin
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