Two decreasing exponential functions, f(x) and g(x), both approach the same asymptote y=−5 as x→∞. f(x) passes through (0,0) and g(x) passes through (0,5). If they intersect at x=3, which function must have a smaller base b (where base is defined as the decay factor 0<b<1)? Justify your answer using the properties of the curves.