Let and . Which statement about their ranges is…

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

Problem

Let

p(x)=5x^{6}

and

q(x)=x^{5}

. Which statement about their ranges is correct? (a) Both

p(x)

and

q(x)

have range

\mathbb{R}

. (A) (b) Both

p(x)

and

q(x)

have range

[0,\infty)

. (D) (c) Only

p(x)

has range

[0,\infty)

while

q(x)

has range

\mathbb{R}

. (B) (d) Only

q(x)

has range

[0,\infty)

while

p(x)

has range

\mathbb{R}

. (C)