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Determining Whether a Piecewise Function Is Continuous

Avg difficulty 2.5

Determine whether the function below is continuous. If it is not, state the location and type of each discontinuity.

f(x)={ sin(x), x<0 x 3 , x>0 f \left(x\right) = \left\{\right. \begin{matrix}\sin \left(x\right) , & x < 0 \\ x^{3} , & x > 0\end{matrix}

OpenStax Precalculus 2e, 12.3 Continuity, exercise 9

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.