Simple trig

Let: f(x) = a*sin(bx+c), where:
a, b, and c are constants, and -100 < a < 100.

Let: g(x) = 0

There are many values of x in which f(x)=100. Hurrah.
g(x) can never equal 100. In fact, g(x) can never approach any integer, except the neutral integer of zero.

Then, why not forget g(x)? Why have multiple functions when one will suffice?

The answer is, one will not suffice. Because as soon as f(x)=100, being a sine function, you know that decline is on the way. Especially when the period is small, the decline is rapid.
In fact, one could say as f(x) approaches 100, f(x) approaches -100.

Beware of f(x).
Choose g(x).
Choose the neutral integer.