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1. Consider the function f (x) = +x-10x+8 x2 -x-20 . Discuss where this function is continuous. Classify any discontinuities, and explain them using the

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1. Consider the function f (x) = +x-10x+8 x2 -x-20 . Discuss where this function is continuous. Classify any discontinuities, and explain them using the definition of continuity. 2. Consider the piecewise function g (x) defined below. Use the three-part definition of continuity to determine whether the function is continuous at x = -2 and x = 4. x2 - 4x - 4, x > 4 g ( x) = -X, - 25x

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