Consider the two parent functions and .

MATHEMATICS · Multi-part · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

Consider the two parent functions

f(x)=x^{2}

and

g(x)=2^{x}

. (i) Calculate the values of

f(5)

and

g(5)

. (ii) Using the results from part (i), determine which function grows faster for large positive values of

x