Mathematics

Problem

The function

p

is defined by

p(x)=\begin{cases} |x|, & x<0,\\ \lfloor x \rfloor, & 0\le x<1,\\ \dfrac{1}{x}, & x\ge 1. \end{cases}

Which of the following statements correctly describes

p

? a) A single rational function defined on

\mathbb R\setminus\{0\}

b) A piecewise function whose segments are modulus, identity and rational functions c) A piecewise function whose three segments are respectively modulus, greatest–integer and rational functions d) A piecewise function whose segments are modulus, greatest–integer and logarithmic functions

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