Consider the three functions

MATHEMATICS · Single correct · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

p(x)=2x+5

q(x)=x^{2}

and

r(x)=3^{x}

for

x>0

. Without performing explicit calculations, which function will eventually exceed the other two in value as

x

becomes very large? (a)

q(x)

(b)

r(x)

p(x)