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.

What is the role of the variable K in the context of graph continuity?

• K shifts the graph left or right.

• K changes the color of the graph.

• K determines the slope of the graph.

• K shifts the graph up or down.

Why is K = 0 not suitable for making the graph continuous?

• It makes the graph too steep.

• It shifts the graph too far left.

• It makes the graph too flat.

• It causes a jump discontinuity.

What is the main challenge in finding the correct value of K?

• K must be a negative number.

• K must be a fraction.

• K must be visualized correctly.

• K must be a whole number.

How do we determine the value of K mathematically?

• By guessing and checking different values.

• By setting up an equation where the graphs are equal at a specific point.

• By measuring the distance between the graphs.

• By using a graphing calculator.

What is the value of K that makes the graphs continuous?

• K = 10

• K = 8

• K = 4

• K = 6