Consider the piecewise function: Which of the following stat...

For A, the graph has a jump discontinuity at x = 2. This statement is correct because, the left-hand and right-hand limits at x = 2 are not equal, indicating a jump discontinuity at this point.
For B, the graph has a hole at x=−1. This is incorrect. A hole occurs when the left-hand and right-hand limits exist and are equal, but the function is either undefined or the function value does not match the limit. Here, there is a jump discontinuity at x=−1, not a hole.

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Algebra-1

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