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

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 · 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 …

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. …

Find whether a function is continuous step-by-step. AI may present inaccurate or offensive content that does not represent Symbolab's views. Save to Notebook!

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

4 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 …

Graph the function and check to see if both sides approach the same number. Approaching x = 1 from both sides, both arrows point to the same number (y = 10). This graph shows that both …

Here are some properties of continuity of a function. If two functions f (x) and g (x) are continuous at x = a then. f + g, f - g, and fg are continuous at x = a. f/g is also continuous at x = a provided …

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 …