Evaluate the limit of a piecewise function by graphing

The video tutorial explains how to graph piecewise functions, specifically y = 1 and y = 0, with constraints. It demonstrates how to identify and graph these functions separately and then combine them. The tutorial also covers the concept of limits, particularly as x approaches 2, and highlights the difference between the limit of a function and its actual value at a point. The instructor emphasizes understanding the graphical representation and the importance of distinguishing between limits and function values.

What are the two different functions represented in the piecewise function discussed?

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How do you graph the function y = 1 with the constraint that x cannot equal 2?

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What is the significance of the hole in the graph when x equals 2?

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What value does the graph approach as x gets closer to 2 from the left?

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Explain the difference between the value of the function at x = 2 and the limit as x approaches 2.

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