ariable Calc / Module Three / 3-1 Module Three Discussion: Continuity and Differentiability Continuity and Differentiability Remaining Time: Unlimited Analyze the function f (z) = 5x+13 if x 10 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 r = 10? Explain why or why not in your Discussion post Yes O No Hint: In order for f (x) to be continuous at z = 10, the limits of f (I) from the left and from the right must both exist and be equal to f (10). Part 2: Is f (x) differentiable at c = 10? 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 r = 10, f (x) must be continuous at r = 10 and the limits of the difference quotient f(10+h)-f(10) h from the left and from the right must both exist and be equal to each other. How Did I Do? Try Another