Value k that makes the quadratic piecewise function continuous

The video tutorial discusses the concept of continuity and discontinuity in graphs, focusing on finding the value of K that ensures continuity at X = 1. The instructor explains the process of setting equations equal to each other to find when Y values are the same, using algebraic methods to solve for K. The lesson concludes with a brief mention of graphing the equations, although the focus remains on the algebraic solution.

How do you determine if a graph is continuous or discontinuous at a given point?

What is the significance of the value K in determining continuity at X = 1?

Explain the process of setting equations equal to each other to find the value of K.

What algebraic steps are involved in solving for K when X = 1?

Discuss the importance of graphing in understanding the behavior of the function.