Continuity of Functions
Continuity of Functions Topics
Continuity of Functions explanations, examples, practice problems. Ready? Let’s do this.
Continuity at a Point
We say a function is continuous at x = c ifIn words, the function doesn't jump around at x = c. There will be no surprises; the function will do what we expect.
Continuity on an Interval
We say a function f is continuous on the open interval (a,b) if f is continuous at every point c in (a,b), not including the points a and b.
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 continuous...