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?

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

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

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

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

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