May someone please help me with my practice problems? I'm very confused on limits and need help.

AP REV. Which line is an asymptote to the graph of f (x) = ez? (B) y=0 (C) y = 2 (D) y =x ( A ) =0 7. Which are the equations of the asymptotes of the graph R 3x3+ 4x of the function f (x) = - x x (x2 -9) 02 , 180 5-2x4 (A) x = -3, x=0, x =3, y=0 3 (B) O (C) uil w (D) N/W (B) x = -3, x =0, x = 3, y=1 NIC (A) f(x) - f(0) (C) x = -3, x=3, y=0 03. If f (x) =5x3- 1, then lim * - 0 (D) x= -3, x=3, y=1 ( A) 0 (B) 1 (C ) 5 (D) The limit does not exist. 8. Find the value of k that makes the function f ( x ) = Sx2+2 if x5-1 42 S kx + 4 if x > - 1 04 040 1 - COSO continuous for all real numbers. ( C) 2 ( D ) 4 ( A) 0 (B) 1 (A) -3 (B) -1 (C) 1 ( D ) 3 15. The table gives values of three functions: 9. An odd function f is continuous for all real numbers. -0.05 0 -0.15 -0.1 0.05 0.1 0.15 * - 00 If lim f (x) = -2, then which of the statements 0.05 0.025 -4 0.075 0.025 0.05 0.075 must be true? f(x) -8.2 -8.1 undefined -7.9 -7.8 g(x) - 8.3 -7.7 1.997 1.99 1.9975 1.005 1.02 I. f has no vertical asymptotes. 1.045 For which of these functions does the table suggest that the II. lim f (x) =0 x - limit as x approaches 0 exists? III. The horizontal asymptotes of the graph of f (A) f only (B) h only are y = -2 and y = 2. (C) f and g only (D) f and h only (A) I only (B) III only 26. If a function f is continuous on the closed interval [1, 4] and (C) I and III only (D) I, II, and III "if f (1) = 6 and f (4) = -1, then which of the following 10. lim sin(2x) must be true? x-+0 tan(3x) (A) f(c) =0 for some number c in the open interval (A) 0 (B) WIN (C) 1 (D ) NIW (-1, 6). (B) f(c) = 1 for some number c in the open interval (1, 4). 11. Suppose the function f is continuous for all real numbers. (C) f(c) = 1 for some number c in the open interval If f ( x ) = .* + 8 x+2 - when x * -2, then f (-2) = (-1, 6). (D) f(c) # -2 for any number c in the open interval (1, 4). (A) 0 (B) 4 (C) 8 (D) 12 avusvhed erl bos