1.

Let f : [-1, 3] → R be defined as\(f\left( x \right) = \left\{ {\begin{array}{*{20}{c}}{\left| x \right| + \left[ x \right],}&{ - 1 \le x < 1}\\{x + \left| x \right|,}&{1 \le x < 2}\\{x + \left[ x \right],}&{2 \le x \le 3}\end{array}} \right.\) where [t] denotes the greatest integer less than or equal to it. Then, f is discontinuous at:

A. only one point
B. only two points
C. only three points
D. four or more points
Answer» D. four or more points


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