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Continuity constant for a piecewise function

University · ●○○○○ 10 pts

Let f(x)={kx2if x≤2x+kif x>2f(x)=\begin{cases} kx^{2} & \text{if } x\le 2 \\ x+k & \text{if } x>2\end{cases}. Find the value of the constant kk that makes ff continuous. Round to two decimal places.

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piecewise functionsone-sided limitslinear equations