A decreasing function is a type of function where, as the input values increase, the output values decrease. This relationship can be formally described by stating that if $$x_1 < x_2$$, then $$f(x_1) > f(x_2)$$ for all points in the function's domain. Recognizing a function as decreasing helps in understanding its behavior, and identifying intervals where it decreases is important in various applications, such as optimization and graphing.
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