Question

4 which parent function best models exponential investment growth? a ( f(x) = 2^x ) b ( f(x) = sqrt{x} ) c ( f(x) = x^2 ) d ( f(x) = x )

Explanation:

Exponential growth is modeled by functions where the variable is in the exponent. Among the options, only \(f(x) = 2^x\) has the variable \(x\) as an exponent, fitting exponential growth. The other options are root (\(\sqrt{x}\)), quadratic (\(x^2\)), and linear (\(x\)) functions, which do not represent exponential growth.

Answer:

A. \(f(x) = 2^x\)