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12.3 Exercise 18

Avg difficulty 2.5

Determine why the function f f is discontinuous at a given point a a on the graph. State which condition fails.

f( x )={ 1 2−x , x≠2 3, x=2 a=2 f \left(x\right) = \left\{\right. \begin{matrix}\frac{1}{2 - x} , & x \neq 2 \\ 3 , & x = 2\end{matrix} a = 2

OpenStax Precalculus 2e, 12.3 Continuity, exercise 18

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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.