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Determining the Input Values for Which a Piecewise Function Is Discontinuous

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Determine whether the function f f is discontinuous for any real numbers.

f(x)={ x+1, x<2 3, 2≤x<4 x 2 −11, x≥4 f ( x ) = \left\{\right. \begin{matrix}x + 1 , & x < 2 \\ 3 , & 2 \leq x < 4 \\ x^{2} - 11 , & x \geq 4\end{matrix}

OpenStax Precalculus 2e, 12.3 Continuity, exercise 7

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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.