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Continuity of a piecewise function

High school · ●●○○○ 20 pts

Let f(x)={5x2+2if x≤a,11xif x>a.f(x) = \begin{cases} 5x^2+2 & \text{if } x\le a, \\ 11x & \text{if } x>a. \end{cases} Find the smallest possible value of aa for which the graph of y=f(x)y=f(x) is continuous (the graph can be drawn without lifting your pencil from the paper). Give your answer as a decimal.

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piecewise functionsquadratic equations