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12.3 Exercise 20

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 )={ 3+x, x<1 x, x=1 x 2 , x>1     a=1 f \left(x\right) = \left\{\right. \begin{matrix}3 + x , & x < 1 \\ x , & x = 1 \\ x^{2} , & x > 1\end{matrix} \textrm{ }\textrm{ }\textrm{ }\textrm{ } a = 1

OpenStax Precalculus 2e, 12.3 Continuity, exercise 20

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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.