Final answer:
When a function is increasing, f(a) must be less than f(b) when a < b.
Step-by-step explanation:
When we say that the function f is increasing, it means that for any two values of a and b in the domain of f, if a is less than b, then f(a) must be less than f(b). In other words, as the input values increase, the output values also increase.
So, the correct option is 1) f(a) < f(b).