At its core, continuity implies that small changes in the input of a function result in small changes in its output. More ...

In this part you do not have to sketch the graph and you may even be given the sketch of the graph to start with. For a quadratic equation of the form \(y = k{(x - a)^2} + b\), the following diagram ...

Statement 1: A rational function has a vertical asymptote where the denominator is zero. The denominator x - 2 = 0 when x = 2. Therefore, f (x) has a vertical asymptote at x = 2. The statement is true ...

Atsuji has internally characterized those metric spaces X for which each real-valued continuous function on X is uniformly continuous as follows: (1) the set X' of limit points of X is compact, and (2 ...