Given the function f(x) = vx - 6, (a) Find f (x). b) Graph f and fin the same rectangular coordinate system. (c) Use interval notation to give the domain and the range of f and f1. (Hint: To solve for a variable involving an nth root, raise both sides of the equation to the nth power, (Vy) " = y.) a) Find f" (x). Select the correct choice below and fill in the answer box(es) to complete your choice. (Simplify your answer. Use integers or fractions for any numbers in the expression.) OA. f '(x) = x= O B. f ' (x) = . for all x Oc. f '(x ) =x= OD. f' (x ) = ,x = b) Choose the correct graph below. Graph f and f on the same coordinate system. O A. O B. O C. OD. Q Ay c) State the domain and range of f and fusing interval notation. Select the correct choice below and fill in the answer box to complete your choice. Type your answer in interval notation.) O A. The domain of f, which is equal to the domain off , is. O B. The domain of f, which is equal to the range of f , is. Select the correct choice below and fill in the answer box to complete your choice. "Type your answer in interval notation.) O A. The range of f, which is equal to the domain of f, is. B. The range of f, which is equal to the range of f , is