Discontinuous Functions Quiz

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5 Questions

Which of the following functions is discontinuous?

$\frac{g(x)}{f(x)}

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

One point

Where is the function $f(x) = |2x - 1| \sin x$ differentiable?

$R = {\frac{1}{2}}$

On which set is the function $f(x) = \cot x$ discontinuous?

${x = n\pi, n \in \mathbb{Z}}$

What is the correct function notation for the given function?

$f(x)$

This quiz tests your knowledge of discontinuous functions and their properties. It includes questions about combining functions, determining points of discontinuity, and analyzing rational functions. Test your understanding and see if you can identify which function is discontinuous among the given options.

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