To graph the function represented in the table, let's first identify the points from the table:
\[ \begin{array}{|c|c|} \hline x & y \ \hline -2 & -6 \ -1 & -4 \ 0 & -2 \ 1 & 0 \ 2 & 2 \ \hline \end{array} \]
The points to plot on the coordinate plane are:
- \((-2, -6)\)
- \((-1, -4)\)
- \((0, -2)\)
- \((1, 0)\)
- \((2, 2)\)
Now, let's plot these points step by step:
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Start with \((-2, -6)\):
- Move 2 units left on the x-axis and 6 units down on the y-axis. Mark the point.
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Next, plot \((-1, -4)\):
- Move 1 unit left and 4 units down. Mark the point.
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Then, plot \((0, -2)\):
- Stay at the origin (0 on the x-axis) and move 2 units down. Mark the point.
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Next, plot \((1, 0)\):
- Move 1 unit right on the x-axis and stay on the x-axis. Mark the point.
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Finally, plot \((2, 2)\):
- Move 2 units right on the x-axis and 2 units up on the y-axis. Mark the point.
After plotting all these points, you can then connect them with a line to see the pattern of the function. Based on these points, the graph is expected to show a linear relationship.
Make sure to label the axes and possibly include a title for the graph. Also, since your axes go from -10.8 to 10.8, it is helpful to have extra space to visualize the points clearly and ensure the scale is correctly represented.