How to Graph an Absolute Solution

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    • 1). Plug positive and negative values in for x to create a table of values for f(x). Also plug in 0. Given the function f(x) = |x|, for instance, plug the values -3, -2, -1, 0, 1, 2 and 3.

      [x, f(x)]

      -3, 3

      -2, 2

      -1, 1

      0, 0

      1, 1

      2, 2

      3, 3

    • 2). Plot the points from the table of values on your graph.

    • 3). Connect the points by drawing two lines. Given f(x) = |x|, f(x) = 0 when x = 0. Since the f(x) value 0 corresponds to only one value for x, the point (0, 0) is therefore the vertex of this absolute function.

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