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Analyze the function f (3) = 2 1x48 if x if c < 4 Analyze the function f G) = Your classmates may be analyzing

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Analyze the function f (3) = 2 1x48 if x

if c < 4 Analyze the function f G) = Your classmates may be analyzing different functions, so in your initial post in Brightspace be sure to specify the function that you are analyzing. Part 1: Is f (c) continuous at c 4? Explain why or why not in your Discussion post O Yes Hint: In order for _f (c) to be continuous at c = 4, the limits of f@) from the left and from the right must both exist and be equal to Part 2: Is f (c) differentiable at c = 4? Explain why or why not in your Discussion post. O Yes Hint: Similarly to continuity, in order for f (c) to be differentiable at c 4, f@) must be continuous atc 4 and the limits of the f(4+h) f(4) difference quotient from the left and from the right must both exist and be equal to each other.

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