Learn to make the rational piecewise function continous

The video tutorial addresses a complex graph problem involving a rational expression. The instructor simplifies the equation by factoring the numerator and denominator, identifying a removable discontinuity at x = 1. The simplified equation is then analyzed, and the instructor concludes by demonstrating how to handle the discontinuity and solve the problem.

What does the graph of the equation Y = X^2 - 2X + 1 look like?

Explain the process of simplifying the expression X^2 - 1.

What type of discontinuity occurs at X = 1 in the given context?

How do you determine if it is acceptable to substitute a value into an equation?

What is the significance of the result when substituting X = 1 into the equation?