lz+10 ifz

Analyze the function f (x) 1 x +10 if < 8 2 8 x 4-6 if 28 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 8? Explain why or why not in your Discussion post O Yes Hint: In order for f (x) to be continuous at x = 8, the limits of f (x) from the left and from the right must both exist and be equal to f (8). Part 2: Is f (x) differentiable at x = 8? Explain why or why not in your Discussion post O Yes Hint: Similarly to continuity, in order for f (x) to be differentiable at x = 8; f (x) must be continuous at x from the left and from the right must both exist and be equal to each other. h 8 and the limits of the difference quotient