Answer Happy

Looking for help in explaining part 2: Is f(x) differentiable atx=4? Having some trouble getting the equations proving thatthey are to work out. Thank you!
Analyze the function f(x)={21​x+104x​+8​ if x<4 if x≥4​. 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=4 ? Explain why or why not in your Discussion post Yes No Hint: In order for f(x) to be continuous at x=4, the limits of f(x) from the left and from the right must both exist and be equal to f(4). Part 2: Is f(x) differentiable at x=4 ? 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=4,f(x) must be continuous at x=4 and the limits of the difference quotient hf(4+h)−f(4)​ from the left and from the right must both exist and be equal to each other.