How do you determine the end behavior of $f(x)=1-x^6$ ?

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Answer 1 · 2017-11-09T18:50:49

See below.

For end behaviour of a polynomial, we only have to look at the degree and leading coefficient. In this case it is:

$-x^6$

$lim_(x->oo)(-x^6)=-oo$

$lim_(x->-oo)(-x^6)=-oo$

Graph: graph{1-x^6 [-6.24, 6.244, -3.12, 3.12]}

How do you determine the end behavior of f(x)=1-x^6f(x)=1-x^6?