Step 1:

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The piecewise function is \"\"

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\"\"

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(a)

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All possible values of \"image\" is domain of a function.

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The domain of \"\" is all real numbers.

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(b)

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Find the intercepts

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Find the \"image\"-intercept by substituting \"\".

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\"\"

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\"\"

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\"\"

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\"\"

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Find the \"\"-intercept by substituting \"\".

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\"\"

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\"\"

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\"\"

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\"\"

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(c)

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\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\" \

\"\"

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\"\"

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\"\" \

\"\"

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\"\"

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\"\" \

\"\"

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\"\"

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\"\" \

\"\"

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\"\"

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\ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\" \

\"\"

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\"\"

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\"\" \

\"\"

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\"\"

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 \"\"

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 (d)

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All possible values of \"\" is range of a function.

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The range of function is \"\".

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The range in interval notation \"\".

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(e)

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The function is discontinuous at \"\".