Question: Consider the function f defined by sin (52) +8, if x < 0 I (a - b)x+ 2a, if x 0 f(x) = a)

Consider the function f defined by sin (52) +8, if x < 0 I (a - b)x+ 2a, if x 0 f(x) = a) Determine the value of the constant a for which f is continuous at r = 0. You must carefully justify your answer. b) Determine the values of the constants a and b for which f is differentiable at x = 0. You must carefully justify your answer.

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