Jul 12, 2021 · Try out these step-by-step pre-calculus instructions for how to determine whether a function is continuous or discontinuous.

Jun 6, 2025 · Identify any points where the function might be undefined. Check continuity at those specific points. Verify that the rest of the interval has no interruption in function values. …

A function is continuous when its graph is a single unbroken curve ... that you could draw without lifting your pen from the paper.

Sep 27, 2023 · Checking the continuity of a function is easy! The simple rule for checking is tracing your pen on the curve. If you have to pick up your pen, the function is discontinuous. …

Nov 22, 2025 · Formally, a function f (x) is continuous at a point x = a if three conditions hold: f (a) is defined (the function has a value at a). lim⁡x→a f (x) exists (the limit from both sides …

3 days ago · This page discusses continuity in functions, detailing the requirements for a function to be continuous at a point, including being defined, having a limit, and matching the limit's …

A function f (x) is said to be a continuous function at a point x = a if the curve of the function does NOT break at the point x = a. Learn more about the continuity of a function along with graphs, …

How do you find if a function is continuous? To determine if a function is continuous at a point c, you need to check three conditions: The function is defined at c: f (c) exists. The limit exists at …

For a function to be continuous at a point x = a, it must meet the following criteria: f (a) must be defined. Note that the above tests the continuity of a single point. For a function to be …

In this video, we’ll break down the idea of continuity and discontinuity (discrete) in clear, visual terms — perfect for building a strong foundation in Algebra, Precalculus, or even early ...