Find the value k that makes the function continuous

The video tutorial explains how to make a graph continuous at a specific point by equating two piecewise functions. The teacher guides students through setting equations equal to each other, solving for the variable K, and graphing the results to ensure continuity. The lesson emphasizes understanding the process of making graphs continuous and solving equations involving fractions.

Why is it important to set the left side graph equal to the right side graph?

What does the teacher imply about the Y value when discussing the graphs?