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 · Discover how to tell if a function is continuous with key AP® Calculus AB-BC concepts, examples, and real-world applications.

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

Nov 22, 2025 · In mathematics, continuity describes how smoothly a function behaves without sudden jumps, breaks, or holes. It is an important unit of Calculus as it forms the base, and it …

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 14, 2025 · We begin our investigation of continuity by exploring what it means for a function to have continuity at a point. Intuitively, a function is continuous at a particular point if there is …

Nov 16, 2022 · Functions won’t be continuous where we have things like division by zero or logarithms of zero. Let’s take a quick look at an example of determining where a function is not …

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 …

Dec 14, 2024 · In simpler terms, you could draw the graph of a continuous function without lifting your pen from the paper. Let’s dive into the formal definition. A function f (x) is continuous at a …