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Determining Whether a Piecewise Function is Continuous at a Given Number

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Determine whether the function f(x)={ 4x, x≤3 8+x, x>3 f \left(x\right) = \left\{\right. \begin{matrix}4 x , & x \leq 3 \\ 8 + x , & x > 3\end{matrix} is continuous at

  1. ⓐ x=3 x = 3
  2. ⓑ x= 8 3 x = \frac{8}{3}

OpenStax Precalculus 2e, 12.3 Continuity, exercise 3

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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.