Question: Part 1: Is f (@) continuous at = 4? Explain why or why not O Yes O NoHint: In order for f(:t:) to be continuous

 Part 1: Is f (@) continuous at = 4? Explain whyor why not O Yes O NoHint: In order for f(:t:) tobe continuous at a: = 4, the limits of f(a:) from theleft and from the right must both exist and be equal tof (4). \fPart 2: Is f (a ) differentiable at a =

4? Explain why or why not Yes O NoHint: Similarly to continuity,in order for f (at) to be differentiable at m = 4,f{m) must be continuous at a: = 4 and the limits ofthe difference quotient f(4+h)f(4} h from the left and from the rightmust both exist and be equal to each other

Part 1: Is f (@) continuous at = 4? Explain why or why not O Yes O NoHint: In order for f(:t:) to be continuous at a: = 4, the limits of f(a:) from the left and from the right must both exist and be equal to f (4). \fPart 2: Is f (a ) differentiable at a = 4? Explain why or why not Yes O NoHint: Similarly to continuity, in order for f (at) to be differentiable at m = 4, f{m) must be continuous at a: = 4 and the limits of the difference quotient f(4+h)f(4} h from the left and from the right must both exist and be equal to each other

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