Analyze the function f(x): +13 if <2 2 I 2 +12 if z>2 Your classmates may be analyzing different functions, so in your initial

Analyze the function f(x): +13 if 2 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 Yes O No = 2? Explain why or why not in your Discussion post Hint: In order for f (x) to be continuous at = 2, the limits of f(x) from the left and from the right must both exist and be equal to (2). Part 2: Is f (x) differentiable at x = 2? 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 = 2, f(x) must be continuous at from the left and from the right must both exist and be equal to each other. f(2+h)-f(2) h Try Another 2 and the limits of the difference quotient