Please answer these questions. Thank you

x+10 Is the function given by g(x) = continuous over the interval (- 8,8)? Why or why not? E> Select the correct answer below and, if necessary, fill in the answer box to complete your choice. '15? A- No, the function is not continuous at x = D. (Use a comma to separate answers as needed.) {:2 B. Yes, the function is continuous over ( - 8,8) because g(x) is a rational function and the values over the interval (- 8,8) are in the domain of g. Is the function given by g(x) = vx - 1 continuous over the interval [1,co)? Why or why not? . . . Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. No, the function is not continuous at x = (Use a comma to separate answers as needed.) O B. Yes, the function is continuous over [1,co) because the values over the interval [1,co) are in the domain of g(x) and lim g(x) = g(a) for all x in [1,co). x- aThe Candy Factory sells candy by the pound, charging $1.25 per pound for quantities up to and including 15 pounds. Above 15 pounds, the Candy Factory charges $1.10 per pound for the entire quantity, plus a quantity surcharge k. If x represents the number of pounds, the price function is as follows. 1.25x forxs15 1.10x+k forx>15 p(X) = Find k such that the price function p is continuous at x = 15. The price function p is continuous at x =15 when k = E. (Type an integer or a decimal.) (3) Find a simplified form of the difference quotient and (b) complete the following table. x h f(x + h) f(x) f(x) = - 3x2 h 0.1 0.01 hhhh f(x + h) f(x) _ a)f D 9 a) Find the simplified form of the difference quotient for the function f(x) = ;. b) Complete the following table. f(x + h) f(x) h f x + h - f x a) The difference quotient is % = D. (Simplify your answer.)