Chapter 1 . Review Exercises 159 D& REVIEW PROBLEMS: CHAPTER 1 1. Which line is an asymptote to the graph of f(x) = ex? Preparing for the (AP Exam ( B) y=0 (C ) y = 2 ( A ) *= 0 (D) y = x 7. Which are the equations of the asymptotes of the graph tion R 3x 3+ 4x of the function f (x) =- x 02 ,10 5- 2x4 x (12 -9) 3 ( B ) 0 (C) I w ( D ) (A) x = -3, x =0, x =3, y=0 ( A ) -2 (B) x = -3, x =0, x =3, y=1 f ( x ) - f(0 ) (C) x = -3, x =3, y=0 03. If f (x) =5x3 - 1, then lim X 3 (D) x =-3, x=3, y=1 ( A ) 0 (B ) 1 (C ) 5 (D) The limit does not exist. 8. Find the value of & that makes the function f ( x ) = 1x 2 +2 if x 5- 1 kx + 4 if x> - 1 04 040 1 - COSO continuous for all real numbers. (B) 1 (C) 2 (D) 4 (A) 0 (A) -3 (B) -1 (C) 1 25. The table gives values of three functions: (D) 3 9. An odd function f is continuous for all real numbers. -0.15 -0. 1 -0.05 0.05 0.1 0.15 If lim f (x) = -2, then which of the statements f(x) 0.075 0.05 0.025 -4 0.025 0.05 0.075 must be true? -8.2 -8. 1 g ( x ) - 8.3 undefined -7.9 7.8 1.99 -7.7 1.997 1.9975 1.005 1.02 I. f has no vertical asymptotes. "(x) 1.045 For which of these functions does the table suggest that the II. lim f (x) =0 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 16. 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) 2 (C) 1 ( D ) (-1, 6 ). 2 (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 ) = 1x3 + 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 svusvhed grit bn vbenneN . Andol Jasbjaby9.2.U ,2291pno) of ege saitraer es vsM no animuter bris nooM effi plo nomis phibnishi gong 19bor V mule sxpoer al viut no 1916) of viathe mind = 10 evilsvned erb of moss s rhiw sluboM bnismno) hiw sluboM basmmo) ard of to svilsvned of aluboM isnull and 01g andtenui plusmon inul ofni bancone Ji liny e rit saidweluboM algerDremeldon wolve welvail subslum