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

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