The greatest integer function and absolute value function are both examples of functions that can be defined
Answer (2)
The greatest integer function and the absolute value function are both examples of piecewise defined functions in mathematics. The greatest integer function maps a real number to the largest preceding integer, while the absolute value function measures the distance from zero. These functions illustrate important concepts in real analysis and behavior of functions. ;
The greatest integer function, denoted as ⌊x⌋, returns the largest integer less than or equal to x, while the absolute value function, |x|, measures the distance of x from zero. Both can be defined using piecewise notation and play a significant role in algebra and real analysis. Their understanding is crucial for advanced mathematical studies.
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