Question

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)?

Answer 1

That's what it looks like.