Is it proper to say "increases/decreases from no bound"?
We commonly use the expression increases without bound to describe certain divergent behaviour of functions (e.g. the function increases without bound on ). What would be the proper way of describing the behaviour of the curve of f(x) if I want to move towards the right on ?
In the curve sketching unit in my calculus course, I tend to describe all key elements (critical numbers intervals of increase/decrease, points of inflection, intercepts, etc.) from left to right on the x-axis, and so to increase consistency, I want to describe the increase/decrease of a function from left to right. So far, I have been saying "the function increases/decreases without bound towards the left", but this has been directly opposite to what that interval of the function is labelled. I want to know if there is better or more accurate language I could use.