These answer are correct I just need to be explain why those answer are correct like for 5 why do we chose 6 and 4 and for 4 why does that make it continuous and diffrentiable

4. At x = 2, the function given by f (x) = x +h x52 is (A) both continuous and differentiable (C) differentiable, but not continuous (B) continuous, but not differentiable (D) neither continuous nor differentiable ( 2) + 4+ 1- 5 4 (2 ) - 3 8-325 vescontinue because the the first filled by whole gets part 5. A counter records people entering a fast food restaurant. The data below shows the number of customers that enter the restaurant for each two-hour period starting at 8:00 am. Estimate the rate at which the customers are entering the store at 1:00 p.m. (t = 5). Hours after 8:00 am 0 2 4 6 8 10 12 Number of Customers 0 21 42. 36 14 58 23 (A) 6 customers/h B) -3 customers/hr (C) 39 customers/hr (D) -6 customers/hr 36-42 = -3 6 - 4 86 06