Find the intervals on which the function f(x) = 12-1 2:3- is continuous . Select one: O a. - 00 , = ) U ( # , -0O O b. -00, - 2) U (- 2, 2) U (2, 00 ) O C. -00, -2) U (- 2, 0) U (0, 2) U (2, 00 ) O d. - 00, 0) U (0, 00) O e. (- 00, 7) U (7, 00Determine the points at which the function is discontinuous and state the type of discontinuity: removable, jump, infinite or none. i. f(x) = ii. f (x)= 3 iii. f (x) = iv. f(@) = = 2 Select one: O a. x = 2, hole; x = 3, infinite; x = 1, removable; x = 2, jump O b. x = 2, removable; x = 3, hole; x = 1, removable; x = 2, infinite O c. x = 2, infinite; x = 3, hole; x = 1, infinite; x = 2, jump O d. x = 2, infinite; x = 3, removable; x = 1, infinite; x = 2, jump O e. x = 2, jump; x = 3, infinite; x = 1, removable; x = 2, jumpThe graph of the function f is shown in the figure. Which of the following statements about f is true? N Select one: O a. lim f(x) = lim f(x) c-+b O b. lim f(x) =2 and lim f (x) does not exist I-+b O c. lim f(x) =2 and lim f (x) does not exist O d. lim f(x) =1 and lim f (x) does not exist I-+b r-+a O e. lim f(x) does not exist and lim f (x) does not existUse limits to find the vertical and horizontal asymptotes of the function f () = 12-1 2 Select one: O a. Vertical asymptote at x = - 1 and horizontal asymptote at y = 1 O b. Vertical asymptote at x = -1, x = -2, and horizontal asymptote at y = 1 O c. Vertical asymptote at x = 1 and horizontal asymptote at y = -1 O d. Vertical asymptote at x = 1, x = -2, and horizontal asymptote at y = -1 O e. Vertical asymptote at x = - 1 and horizontal asymptote at x = 1, y = 2sinTy Find lim f (x) = y-+0 tanky Select one: O a. 1 Ob. T O c. 0 O d. -1 O e. None of the above