$\"\"$

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The function is $\"\"$ .

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Definition of absolute function : $\"\"$ .

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The piecewise function is $\"\"$ .

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(a)

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(i)

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Find $\"\"$ .

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If $\"\"$ then the function is $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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(ii)

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Find $\"\"$ .

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If $\"\"$ then the function is $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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(b)

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Find $\"\"$ .

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Left hand limit : $\"\"$ .

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Right hand limit : $\"\"$ .

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Left hand limit and right hand limit are not equal, so limit does not exist.

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$\"\"$ does not exist.

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$\"\"$

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(c)

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Graph :

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Graph the function $\"\"$ :

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$\"\"$

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$\"\"$

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(a) (i) $\"\"$ and (ii) $\"\"$ .

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(b) $\"\"$ does not exist.

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(c) Graph of the function $\"\"$ is

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$\"\"$ .