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Continuity of Functions

Home Calculus Continuity of Functions Topics

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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.

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 continuous...