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Analyzing Graphs of Absolute Value Functions

To graph the given absolute value function, we will make a table of values. We can substitute some values into the rule and solve for the corresponding values. Recall that the absolute value of a number is always positive. Let's first calculate the value for
Simplify right-hand side
We have found that Therefore, the point lies on the graph. We can find other points on the graph in the same way.

To draw the graph, we will plot and connect these points. Recall that the graph of an absolute value function has a V-shape!