12: The domain is D( f ) = ℝ.
The function should be written as a split function, then find the derivative.

Critical points: The equation f ′(x) = 0 has solution x = 2 (the point −2 makes one expression zero, but that expression is not valid for f at −2).
The derivative does not exist at x = 0.

Intervals of monotonicity will be (−∞,0], [0,2], and [2,∞). Determine monotonicity and local extrema using a chart.

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