501 Calculus Questions by Mark McKibben

By Mark McKibben

Designed for these looking aid learning calculus at school - additionally necessary for adults trying to learn/re-learn calculus. A source for teachers supplementing their guide. 501 Calculus difficulties is helping clients organize for tutorial tests and construct problem-solving talents. in contrast to textbooks, complete solution motives are supplied for all difficulties. contains: - Questions overlaying all of unmarried variable calculus - universal calculus error - distinctive answers/fully labored ideas - word list and theorem checklist - entry to unfastened on-line try out

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How many different values of x satisfy the equation 2 x + 1 = 4 x − 5 ? a. b. c. d. qxd 4/24/12 11:07 AM Page 32 501 Calculus Questions For Questions 47 through 50, solve the inequality. Express the solution set using interval notation. 47. 8 − 6 x > 50 48. 4(x + 1) < 5(x + 2) 49. 3x + 10 ≤ −2(x + 15) 50. −3( x − 5) − 2 ≥ −9(x − 1) + 7 x 51. True or false? The solution set for the inequality 8 x + 3 ≥ 3 is [ 0, ∞ ) . 52. True or false? The solution set for the inequality 2 x − 3 < 5 is (−1, 4).

C. d. –19 –11 –7 –4 66. If f(x) = 2x + 1 and g(x) = x – 2, what is the value of f(g(f(3)))? a. b. c. d. 1 3 7 11 67. If f(x) = 6x + 4 and g(x) = x2 – 1, which of the following is equivalent to g(f(x))? a. 6x2 – 2 b. 36x2 + 16 c. 36x2 + 48x + 15 d. 36x2 + 48x + 16 68. What is the range of the function f(x) = x2 – 4? a. b. c. d. the set of all real numbers excluding 0 the set of all real numbers excluding 2 and –2 the set of all real numbers greater than or equal to 4 the set of all real numbers greater than or equal to –4 69.

B. c. d. 75. 18 10 8 16 ( f  g )(0) = ___________. a. 12 b. –1 c. 2 d. undefined 76. ( f ( f ( f ( f (5))))) = ______________ . a. b. c. d. 0 –1 3 undefined 77. True or false? The real number 0 belongs to the domain of the function h defined by h(x ) = ( g  g )( x ) . qxd 4/25/12 12:42 PM Page 45 501 Calculus Questions 78. Which of the following is the domain of the function f ( x) = 1 2 ? (2 − x ) 5 a. ( −∞, 2 ) b. ( 2, ∞ ) c. ( −∞, 2) ∪ ( 2, ∞ ) d. none of the above 79. True or false? There are two x-intercepts of the function f (x ) = 1 − 2 x − 1 .

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