For large positive values of

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

Problem

x

, which of the following correctly orders the functions in increasing magnitude? (a)

x^{2} < 2^{x} < x^{3}

(b)

x^{3} < 2^{x} < x^{2}

(c)

x^{2} < x^{3} < 2^{x}

(d)

2^{x} < x^{3} < x^{2}