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KJ4UTS
 one year ago
Which of the following best describes the end behavior of this polynomial function?
KJ4UTS
 one year ago
Which of the following best describes the end behavior of this polynomial function?

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Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1we can rewrite your polynomial function as below: \[y = {x^4}\left( {a + \frac{b}{x} + \frac{c}{{{x^2}}} + \frac{d}{{{x^3}}} + \frac{e}{{{x^4}}}} \right)\] now if x goes to +infinity or infinity, then the sum inside the parentheses goes to a

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1and: \(a\cdot x^4\) goes to +infinity, being \(a>0\)

KJ4UTS
 one year ago
Best ResponseYou've already chosen the best response.0I see that B. and C. have positive infinity

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1f(x) never goes to infinity

KJ4UTS
 one year ago
Best ResponseYou've already chosen the best response.0Oh I see so that would make it choice B. then because C. goes to  infinity

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1correct! the right option is B

KJ4UTS
 one year ago
Best ResponseYou've already chosen the best response.0@Michele_Laino Ok thank you so when a > 0 (greater sigh) it can only go to positive infinity and in a < 0 (less than) it can go to negative infinity?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1if \(a<0\) your polynomial function goes to infinity, in both cases as x goes to +infinity or to infinity
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