Continuity of Functions explanations, examples, practice problems. Ready? Let's do this.
Continuity at a Point
Continuity is easiest if we begin by thinking of it at a single point. Once we have that down we can start thinking of continuity in broader terms. There's a couple conditions that have to be met f...
Continuity on an Interval
Now that we've got the idea of a continuity at a point down, we can talk about what it means for a function to be continuous on an entire interval.It shouldn't come as much of a surprise that we sa...
Determining Continuity
When we say a function f is continuous, we usually mean it's continuous at every real number. In other words, it's continuous on the interval (-∞, ∞).Some examples of continuous functions that...
Properties of Continuous Functions
Continuous functions are often savvy when it comes to real estate. We've heard they own several properties in East Hampton, Geneva, and Kona. They also hold stake in properties within the Boundedne...
In the Real World
Continuous
functions, believe it or not, are all sorts of useful. For one thing,
they're the secret behind digital recording, including CDs and DVDs.
Here's a brief explanation of how continuou...