Exercise: Special Functions (Modulus,... · Q21
Q.Evaluate , , and , where denotes the greatest integer function.
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Concept understanding — Modulus, Signum and Greatest Integer Functions
These three standard real functions are each defined piecewise rather than by one algebraic expression. The modulus function gives the non-negative magnitude of (domain , range ) and its graph is a V-shaped pair of rays meeting at the origin. The signum function reduces to just its sign, , or (domain , range ), graphed as three disconnected horizontal pieces. The greatest integer function gives the greatest integer not exceeding (domain , range ), graphed as an ascending staircase of unit-wide steps, each closed on its left and open on its right.
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