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AP® Calculus AB-BC

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Continuity for Piecewise Functions

APCALC-I4XY15

Find the value of $c$ that makes $f(x)$ continuous at $x=2$:

$$ f(x) = \left\{ \begin{array}{ll} x^2+c & x \leq 2 \\\ 2x-1 & x > 2 \end{array} \right.$$

A

$\sqrt{3}$

B

$1$

C

$-1$

D

$0$