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# Let $f(x) = \left\{ \begin{array}{l l} \frac{1}{2}, & \quad if 0 \leq x \leq \frac{1}{2} \\ \frac{1}{3}, & \quad if \frac{1}{2} \leq x \leq1 \end{array}. \right.$ then f is

(C) A step function
Hence C is the correct answer.