Answer to Question #15615 in Calculus for hsd

Question #15615
Consider the function: f(x) = (1/2)(x-1)^2 if x ≤ 2 = a+bx if x > 2 where a, b are constants. (a) How do you need to choose a and b in order for f to be continuous at all x E IR? (b) How do you need to choose a and b in order for f to be di erentiable at all x E IR?
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