Question 3. (3 points) For this question you may use the fact that...

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Question 3. (3 points) For this question you may use the fact that the derivative of sin (x) is cos(x) without proof. For a and b real numbers let f(x) = sin(x), 0 x < 0 a. + b, x > Let g(x) = a) For what values of a and b is f (x) continuous? b) For what values of a and b is f (x) differentiable? c) Graph g(x). d) By use of the limit definition of the derivative find where g(x) is differentiable, what the derivative of g(x) is where the derivative is defined and the type of any non-differentiable points.

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