$\"\"$

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The piecewise function is $\"\"$ .

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Graph :

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Graph the piecewise function $\"\"$ : $\"\"$

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Observe the above graph.

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As $\"\"$ tends to $\"\"$ from left side, $\"\"$ approaches to $\"\"$ .

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So $\"\"$ .

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As $\"\"$ tends to $\"\"$ from right side, $\"\"$ approaches to $\"\"$ .

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So $\"\"$ .

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Left hand limit and right limits are not equal, $\"\"$ does not exist at $\"\"$ .

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Therefore $\"\"$ exist for all values of $\"\"$ except $\"\"$ .

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$\"\"$

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Graph of the piecewise function $\"\"$ is

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$\"\"$

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$\"\"$ exist for all values of $\"\"$ except $\"\"$ .