step 1:

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The function is \"\".

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The function is in the form of piecewise linear equation, there are no denominators and radicals.

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So the domain will exist for all values of \"\".

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The domain of the function is \"\".

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Step 2:

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The graph of the piecewise linear function \"\":

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To plot the graph of the \"\", find the coordinates points at \"\".

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\"\"\"\"\"
-4\"\"\"\"
-3\"\"\"\"
-2\"\"\"\"
-1\"\"\"\"
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To plot the graph of the \"\", find the coordinates points at \"\".

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\"\"\"\"\"
0\"\"\"\"
1\"\"\"\"
2\"\"\"\"
3\"\"\"\"
4\"\"\"\"
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Graph:

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(1) Draw the coordinate plane.

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(2) plot the points found in the table.

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(3) Connect the plotted points.

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\"\"

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Note : The circle indicates that the point is not included in the function.

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Solution :

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The domain of the function is \"\".