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12.3 Exercise 8

Avg difficulty 2.5

Determine where the function f(x)={ πx 4 ,x<2 π x ,    2≤x≤6 2πx,x>6 f \left(x\right) = \begin{cases} \frac{\pi x}{4} , x < 2 \\ \frac{\pi}{x} , \textrm{ }\textrm{ }\textrm{ }\textrm{ } 2 \leq x \leq 6 \\ 2 \pi x , x > 6 \end{cases} is discontinuous.

OpenStax Precalculus 2e, 12.3 Continuity, exercise 8

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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.