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A piecewise function is a function defined by two or more equations. A step functions is a piecewise function defined by a constant value over each part of its domain. You can write absolute value functions and step functions as piecewise functions so they're easier to graph.
A false statement.
Yes; your statement is correct.
The statement is false.
It is false because if it is the absolute value of a negative number, the answer would be higher than the original number. |-9|=9