Learn to determine the value that makes the piecewise function continuous

The video tutorial explains the concept of continuity in functions, focusing on piecewise functions and their break points. It discusses how to evaluate left and right-hand limits to ensure continuity and solve equations to find the value of 'a' that makes a function continuous at a specific point. The tutorial emphasizes understanding the conditions under which two functions meet and are continuous.

What is the significance of the value at the breaking point in a piecewise function?

What does it mean if a function has a hole or asymptote?

Explain how to determine if two continuous functions meet at a point.

How do you evaluate the left and right hand limits of a function?

What value of 'a' makes the two functions meet at x = 3?