2) Is the piecewise function CONTINUOUS? Is the function DIFFERENTIABLE everywhere over its domain? Why or...

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2) Is the piecewise function CONTINUOUS? Is the function DIFFERENTIABLE everywhere over its domain? Why or why not? Explain in words and include algebraic justification. (Hint: Consider all areas in domain of interesting behaviour of your piecewise function). This explanation must also be included in the video recording to be submitted with this part of the project. These are the 2 functions in my piecewise function: f(x)=(5x-7)(2x-2)^2) g(x)=sin3+7.21022 2) Is the piecewise function CONTINUOUS? Is the function DIFFERENTIABLE everywhere over its domain? Why or why not? Explain in words and include algebraic justification. (Hint: Consider all areas in domain of interesting behaviour of your piecewise function). This explanation must also be included in the video recording to be submitted with this part of the project. These are the 2 functions in my piecewise function: f(x)=(5x-7)(2x-2)^2) g(x)=sin3+7.21022