Make the Continuous Piecewise Functions

The video tutorial covers piecewise functions, focusing on their continuity and discontinuity. It explains how to find unknown values that make functions continuous, using algebraic methods. The tutorial includes examples with linear, quadratic, and absolute value functions, demonstrating how to solve for continuity by setting equations equal and solving for unknowns. The video aims to build confidence in handling piecewise functions and understanding the conditions for continuity.

How do you determine the output values of two functions to ensure they are the same?

What is the role of the absolute value function in determining continuity, particularly when there is a hole in the graph?

Summarize the overall process of determining the value that makes a function continuous, regardless of the variable used.