Mathematics

Problem

Consider the three functions

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)

r(x)

c) All three remain equal in the long run d)

p(x)