2025年11月国际B卷 · 第 20 题

The functions \(f\) and \(g\) are defined by the given equations, where \(x\ge0\), \(a\) and \(b\) are integer constants, \(a<b\), and \(a>1\). 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 minimum value of the function it defines, where \(x\ge0\)?
I. \(f(x)=a(0.63)^{-bx}\)
II. \(g(x)=a(1.37)^{x+2}+b\)