Explain your process for determining whether the function is continuous and differentiable at the identified point.

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