SOLUTION: Use an end behavior diagram to describe the end the given function. P(x)=-3.14x^6+x^5-x^4-x+2

Question 458889: Use an end behavior diagram to describe the end the given function.
P(x)=-3.14x^6+x^5-x^4-x+2

Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
The limit as x goes to infinity of P(x) goes to negative infinity, since the highest-exponent term "trumps" all other terms (x^6 becomes largest in magnitude, the -3.14 coefficient flips it). We can say that

and

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