2025年3月美国A卷 · 第 20 题

The functions \(f\) and \(g\) are defined by the equations shown, where \(a\) and \(b\) are integer constants, \(a<b\), and \(b<0\). If \(y=f(x)\) and \(y=g(x)\) are graphed in the \(xy\)-plane, which of the following equations displays, as a constant or coefficient, the \(y\)-coordinate of the \(y\)-intercept of the graph of the corresponding function?
I. \(f(x)=a(2.1)^{x+b}\)
II. \(g(x)=a(2.1)^x+b\)