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 = 6? Explain why or why not in your Discussion post Yes No c +18 if x < 6 6x +15 if x 6 Hint: In order for f(x) to be continuous at a 6, the limits of f(a) from the left and from the right must both exist and be equal to f (6). Part 2: Is f (x) differentiable at x = 6? 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 = 6. f(x) must be continuous at x = 6 and the limits of the difference quotient f(6+h)-f(6) h from the left and from the right must both exist and be equal to each other. Feedback For continuity, calculate f (6), the left hand limit lim 2-6- +18 the right hand limit lim 2-6+ 6 + 15