Value k that makes the function continous

The video tutorial explains how to determine the value of K that makes two functions continuous at X = -1. It involves setting the Y values of the functions equal, solving the resulting equation for K, and graphing the functions to verify they intersect at the same point. The process includes algebraic manipulation and graphing techniques to ensure the functions share a coordinate point at X = -1.

What is the condition for the y-values when x equals -1 in the context of discontinuity?

• X-values should be the same

• Y-values should be different

• Y-values should be the same

• X-values should be different

What is the equation formed when the y-values are set equal to each other?

• 2x + K = x - 7

• 2x - K = x + 7

• 2x + K = x + 7

• 2x - K = x - 7

What is the value of K when the equation is solved?

• K = -5

• K = 6

• K = 5

• K = -6

What is the slope of the line represented by the equation y = 2x - 5?

• Slope is 1

• Slope is -1

• Slope is 2

• Slope is -2

At which x-coordinate do the two lines intersect on the graph?

• x = -1

• x = 0

• x = 1

• x = -2