The absolute value function is written f(x) = |x|. It is composed of the lines y = x and y = -x.
Its domain is the real numbers and its range is the set of real numbers: [0, ∞). Its graph is:


1. The absolute value function is y = |x|. Is it possible for the absolute value function to ever have a negative y value? Here is a hint...I’m looking for the actual definition of the absolute value in terms of distance with a detailed example to support your response. Is there a way to transform an absolute value function to have negative outputs?


2. Define the absolute value function, y = |x|, as a piecewise function. Please include complete sentences and examples to justify your answer to receive credit.