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12.3 Exercise 2

Avg difficulty 2.5

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

  1. ⓐ f(x)= x 2 −6x x−6 f \left(x\right) = \frac{x^{2} - 6 x}{x - 6}
  2. ⓑ g(x)={ x , 0≤x<4 2x, x≥4 g \left(x\right) = \left\{\right. \begin{matrix}\sqrt{x} , & 0 \leq x < 4 \\ 2 x , & x \geq 4\end{matrix}

OpenStax Precalculus 2e, 12.3 Continuity, exercise 2

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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.