How to determine the value k that makes the function continuous

The video tutorial explains how to graph functions and ensure their continuity by finding the correct value of K. It discusses graph shifts, discontinuities, and solving equations to make graphs continuous. The tutorial emphasizes understanding the role of K in shifting graphs and ensuring that two equations are equal at a specific point to achieve continuity.

Explain the algebraic approach to finding the value of K when the two equations are equal at X = 1.

What conclusion can be drawn about the value of K based on the graph discussed?