2.5 Continuity: Quiz


Problem 3

Consider the piecewise defined function

Choose the answer which best describes the continuity of this function.

  1. The function is unbounded and therefore cannot be continuous.
  2. The function is right continuous at x = 0 and x = 4, but is not continous at these points.
  3. The function has a removable discontinuity at 0 and 4, but is continuous on the rest of the real line.
  4. The function is continuous on the real line.

Answers, problem 3

  1. The function is continuous on the real line.

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