How to determine if a piecewise function is continuous or not with limits

The video tutorial explains how to evaluate the function F at the point 2 by substituting values into the function. It highlights the importance of choosing the correct function and discusses the concept of decision points. The tutorial further explores evaluating limits from both positive and negative directions to determine the continuity of the function, concluding that the function is continuous without breaks, holes, or asymptotes.

What is the value obtained when evaluating the function at x = 2?

What is the significance of the decision point at x = 2 in the evaluation process?

Explain the process of evaluating the limit as x approaches 2 from the negative side.

How do the values from the left and right of x = 2 compare when evaluating the limit?

What does it mean for a function to be continuous over all x?