A polynomial curve passes through the origin

MATHEMATICS · Single correct · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

A polynomial curve passes through the origin. As

x\to-\infty

y\to\infty

, and as

x\to\infty

y\to-\infty

. Which of the following equations is consistent with this end behaviour? (a)

y=x^{3}

(b)

y=-x^{3}

(c)

y=x^{2}

(d)

y=-x^{2}