z+ 13 V10 z +8 if z> 10 if z< 10 Analyze the function f (z) Part 1: Is f(z) continuous at z 10? Explain why or why not in your Discussion post O Yes O No Hint: In order for f (z) to be continuous at z = 10, the limits of f (z) from the left and from the right must both exist and be equal to f (10). Part 2: Is f(z) differentiable at z = 10? Explain why or why not in your Discussion post. O Yes ON O Hint: Similarly to continuity, in order for f (z) to be differentiable at z = 10, f (z) must be continuous at z = 10and the limits of the difference quotient f(10+h)-f(10) from the left and from the right must both exist and be equal to each other. h

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