Which statement correctly describes the end behaviour and symmetry of the graph of ?

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

Problem

Which statement correctly describes the end behaviour and symmetry of the graph of

y=-2x^{4}

? (a) Symmetric about the

y

-axis; rises to

+\infty

at both ends. (b) Symmetric about the

y

-axis; rises to

+\infty

x\to\infty

and falls to

-\infty

x\to-\infty

. (c) Symmetric about the

y

-axis; falls to

-\infty

at both ends. (d) Symmetric about the origin; rises to

+\infty

x\to\infty

and falls to

-\infty

x\to-\infty