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12.3 Exercise 36

Avg difficulty 2.5

Determine whether or not the given function f f is continuous everywhere. If it is continuous everywhere it is defined, state for what range it is continuous. If it is discontinuous, state where it is discontinuous.

f( x )= | x−2 | x 2 −2x f \left(x\right) = \frac{\left|x - 2\right|}{x^{2} - 2 x}

OpenStax Precalculus 2e, 12.3 Continuity, exercise 36

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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.