What is the end behavior of $f(x)=-6x^3+10x$ ?

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Answer 1 · 2017-11-24T14:23:03

See below.

For end behaviour of polynomials, we only need to be concerned with the leading coefficient, the degree and what happens as $x-> +-oo$ .

Leading coefficient and degree is:

$-6x^3$

as $x->oo$ , $color(white)(88)-6x^3->-oo$

as $x-> -oo$ , $color(white)(88)-6x^3->oo$

What is the end behavior of f(x)=-6x^3+10xf(x)=-6x^3+10x?