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Identifying Discontinuities

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Identify all discontinuities for the following functions as either a jump or a removable discontinuity.

  1. ⓐ f(x)= x 2 −2x−15 x−5 f \left(x\right) = \frac{x^{2} - 2 x - 15}{x - 5}
  2. ⓑ g(x)={ x+1, x<2 −x, x≥2 g \left(x\right) = \left\{\right. \begin{matrix}x + 1 , & x < 2 \\ - x , & x \geq 2\end{matrix}

OpenStax Precalculus 2e, 12.3 Continuity, exercise 1

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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.