Mathematical Modeling
The absolute value function is a mathematical function that measures the distance of a number from zero on the real number line, regardless of direction. It is typically denoted as $$f(x) = |x|$$, where the output is always non-negative, making it particularly useful in contexts where negative values are not applicable. This function can be expressed as a piecewise function, showcasing its behavior differently based on whether the input is positive or negative.
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