a+14 if a < 8 V8 x +10 if x > 8 Analyze the function f (x) 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 (x) continuous at x = 8? Explain why or why not in your Discussion post O Yes O No Hint: In order for f (x) to be continuous at x = 8, the limits of f (x) from the left and from the right must both exist and be equal to f (8). Part 2: Is f (x) differentiable at x = 8? Explain why or why not in your Discussion post. Yes No Hint: Similarly to continuity, in order for f (x) to be differentiable at x = 8, f (x) must be continuous at x = 8 and the limits of the difference quotient f(8+h)-f(8) from the left and from the right must both exist and be equal to each other.

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