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Which of the following functions is not continuous?

Practice Questions

Q1
Which of the following functions is not continuous?
  1. f(x) = x^2
  2. f(x) = 1/x
  3. f(x) = sin(x)
  4. f(x) = e^x

Questions & Step-by-Step Solutions

Which of the following functions is not continuous?
  • Step 1: Understand what continuity means. A function is continuous if you can draw it without lifting your pencil.
  • Step 2: Identify the function given in the question, which is f(x) = 1/x.
  • Step 3: Check where the function f(x) = 1/x is defined. It is defined for all x except x = 0.
  • Step 4: Recognize that at x = 0, the function f(x) = 1/x does not have a value (it is undefined).
  • Step 5: Conclude that since f(x) = 1/x is not defined at x = 0, it cannot be continuous at that point.
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