Discontinuous Functions Quiz
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Questions and Answers

Which of the following functions is discontinuous?

  • $f(x) + g(x)$
  • $f(x) \cdot g(x)$
  • $\frac{g(x)}{f(x)} (correct)
  • $f(x) - g(x)$
  • At how many points is the function $f(x) = \frac{4-x^2}{4x-x^3}$ discontinuous?

  • Three points
  • One point (correct)
  • Two points
  • None of these
  • Where is the function $f(x) = |2x - 1| \sin x$ differentiable?

  • $R = \{\frac{1}{2}\}$ (correct)
  • None of these
  • The interval $(0,\infty)$
  • The entire real line
  • On which set is the function $f(x) = \cot x$ discontinuous?

    <p>${x = n\pi, n \in \mathbb{Z}}$</p> Signup and view all the answers

    What is the correct function notation for the given function?

    <p>$f(x)$</p> Signup and view all the answers

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