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3-17.
  1. Sketch f(x) = log|x|. Homework Help ✎

    1. Rewrite f(x) as a piecewise function.

    2. What is the domain of f ?

This piecewise will have two pieces with a boundary point at x = 0.

The domain of the parent graph, y = log(x), is x > 0. In other words, negative values and 0 are restricted.
For f(x) = log|x|, are negative values restricted? How about 0?