Preparing for the (AP Exam AP CUMULATIVE REVIEW PROBLEMS: CHAPTERS 1-2 1-4 @ 1. lim 1-44-x 2001 6 The line x = c is a vertical asymptote to the graph of (A) -4 (B) -1 (C) O (D) does not exist the function f. Which of the following statements cannot be true? 02. lim 3.r + sin x (A) lim /(x) = 03 (B) lim /() =C 2x (A) 0 (B) I (C) 2 (D) does not exist (C) /(e) is not defined. (D) / is continuous al * = c. 3. Let h be defined by Q 7. The position function of an object moving along a straight line is str) =- 15 2" 1 + 51-1. What is the A() = object's acceleration at r = 5? *+ . x (A) 27 (B) - (D) 27 25 25 where f and g are both continuous at all real numbers. If lim f(x) = 2 and lim g(x) = -2, then for what ( 8. If the function / (x) =. 2ax+ bx - 1 if x] brithx - a if x23 number & is h continuous? is continuous for all real numbers x. them (A) -5 (B) -4 (C) -2 (D) 2 (A) 198 - 156 = 1 (B) 180 - 90 = 1 Q 4. Which function has the horizontal asymptotes y = 1 (C) 198 - 96 = 1 (D) 19a + 156 = 1 and y = -17 Q 9 Find the slope of the tangent line to the graph (A) f(x) = = un lx (B) /()=+1 of /(x) = xe' at the point (1, e). 2x] - 1 (D) f()= (A)I (Be (C) Ze (D) e 2x3 + I 10. An object in rectilinear motion is modeled by the Q 5. Suppose the function f is continuous at all real position function numbers and /(-2) = 1 and /(5) = -3. Suppose the s(!) = 3- 8 - 6# + 24r function g is also continuous at all real numbers where s is in feet (fl) and r is in seconds (s). Find the and g (x) = f-(x) for all x. The Intermediate Value acceleration of the object when its velocity is zero. Theorem guarantees that (A) -24 fifs'. 36 ft/s', and 72 fil/s' only (A) g(e) = 2 for at least one c between -3 and 1. (B) 36 ft/s only (B) g(e) = 0 for at least one c between -2 and 5. (C) 360/s and 72 f/s' only (C) f(e) = 0 for at least one c between -3 and 1. (D) -24 1/s' and 36 f1/s' only (D) /(e) = 2 for at least one c between -2 and 5