At x=3, is the function given by f(x)={x^2 when x<3 and 6x-9 when x>=3} continuous and/or differentiable? I know that the graph looks like a parabola but just continues at x=3, so I know it is continuous but would it be considered a sharp turn (would it be differentiable)?

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|dw:1442957985635:dw| That's what it looks like.

Oh these are kinda neat :o
So ummmm

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