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AP Calculus BC/Unit 1: Limits and Continuity
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Piecewise Function with a Jump Discontinuity

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A function f has a jump discontinuity at x = 1 with lim_{x -> 1^-} f(x) = 2 and lim_{x -> 1^+} f(x) = 4. The function is undefined at x=1. Which of the following could be the equation for f?

A

{2x<14x>1\begin{cases} 2 & x < 1 \\ 4 & x > 1 \end{cases}

B

{2x<14∗x−2x≥1\begin{cases} 2 & x < 1 \\ 4*x - 2 & x \ge 1 \end{cases}

C

{2∗xx<14x>1\begin{cases} 2*x & x < 1 \\ 4 & x > 1 \end{cases}

D

{2x≤14x>1\begin{cases} 2 & x \le 1 \\ 4 & x > 1 \end{cases}

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