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The exam requires 3 hours to complete and totals 220 points, with Scantron instructions for bubbling the alpha and recording name/section. 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The exam contains a total of 220 points.  \n􀀁 Immediately fill out the top of the Scantron form using a number 2 pencil:  \n􀀁 Bubble in your alpha.  \n􀀁 Do not bubble in a version code.  \n􀀁 Write your name and section.  \n􀀁 Read through the entire exam first. Start with the easy problems. You may complete the exam in any order.  \n􀀁 Ask questions if you do not understand the problem.  \n􀀁 No calculators, notes, or other resources are allowed. You must work alone.  \nMultiple Choice:  \n􀀁 There are 30 multiple choice questions, Questions 1 through 30.  \n􀀁 Each question is worth 4 points. The exam contains a total of 120 multiple choice points.  \n􀀁 You are required to complete all 30 questions.  \n􀀁 Record all multiple choice answers on the Scantron form.  \n􀀁 There is no partial credit for these questions. You will not be given any credit for work or answers in the test booklet.  \nFree Response:  \n􀀁 There are 17 free response questions, Questions 31 through 47.  \n􀀁 Questions 31 through 33 are worth 10 points each. Questions 34 through 47 are worth 5 points each. The exam contains a total of 100 free response points.  \n􀀁 You are required to complete all 17 questions.  \n􀀁 Show all your work in the test booklet.  \n􀀁 Partial credit may be awarded for these questions.  \n1. (4 points) In which quadrant(s) is sec ( x) negative?  \nA. III and IV  \nB. II and III  \nC. I and III  \nD. I and IV  \nE. II only  \n2. (4 points) Determine ( 0 , 4 ] ∩ [−2 , 1) . Give your answer in interval notation.  \nA. [ 0, 1]  \nB. [−2 , 0 ) ∪ ( 0, 1) ∪ ( 1 , 4 ]  \nC. ( 0, 1)  \nD. (−∞ , 0) ∪ ( 0,1) ∪ ( 1, ∞ )  \nE. [−2, 4 ]  \n3. (4 points) Determine the values of sine and cosine of 5~~6~~ π .  \nA. sin ( ~~ ~~5~~6~~ π ) =~~ 12~~ , cos ( ~~ ~~5~~6~~ π ) = ~~ √23~~   \nB. sin ( ~~ ~~5~~6~~ π ) =~~ 12~~ , cos ( ~~ ~~5~~6~~ π ) = ~~ ~~−~~√23~~  \nC. sin ( ~~ ~~5~~6~~ π ) =~~ √23~~ , cos ( ~~ ~~5~~6~~ π ) = ~~ ~~~~1~~  \nD. sin ( ~~ ~~5~~6~~ π ) =~~ √23~~ , cos ( ~~ ~~5~~6~~ π ) = ~~ 12~~   \nE. sin ( ~~ ~~5~~6~~ π ) =~~ ~~~~1~~ , cos ( ~~ ~~5~~6~~ π ) = ~~ √23~~  \n4. (4 points) Let f ( x) = x 2 −3 x +4 . Evaluate f ( x + 1) .  \nA. x 2 −x + 2  \nB. x 2 −3 x+5  \nC. x 2 −x + 6  \nD. x 2 −x + 8  \nE. x 2 −3 x+ 2  \n5. (4 points) Which of the following is a graph of the function f( x ) = ~~ x ~~~~2~~ + 1? A.  \nB.  \nC.  \nD.  \nE.  \n6. (4 points) What is the equation of the line shown in the graph below?  \nA. y = 1  \nB. y = x  \nC. y = x + 1  \nD. x = 1  \nE. y 2 = 1  \n7. (4 points) The expression ln ( e )−ln( x3 ) is equivalent to  \nA. −ln ( x3 )  \nB. ln ( e ) +ln (−x3 )  \n 1   \nC. ln ( x3 )  \n ln ( e )   \nD. ln ( x3 )  \nE. 1−ln ( x3 )  \n8. (4 points) How many real solutions exist for the equation 4 x2 −3 x + 1 = 0?  \nA. 0, because the equation cannot be factored using whole numbers  \nB. 0, because the equation cannot be factored using real numbers  \nC. 1, because 1 and 4 are perfect squares  \nD. 2, because the degree of the polynomial is 2  \nE. cannot be determined, because the equation cannot be factored using whole numbers  \n9. (4 points) Determine the domain of f( x ) = ~~ √x3~~~~x  ~~ . Give your answer in interval notation.  \nA. (−1 , 3 ]  \nB. (−1, ∞ )  \nC. (−∞ , −1)∪ (−1 , 3 ]  \nD. (−∞ , −1 ] ∪ [−1 , 3)  \nE. (−∞ , −1)∪ (−1, ∞ )  \n10. (4 points) Determine cot ( π ) .  \nA. −1  \nB. 0  \nC. 1  \nD. π  \nE. undefined  \n11. (4 points) The expression log3 ( 81 x2) is equivalent to  \nA. 2 log3 ( 81 x )  \nB. 4 +2 log3 ( x )  \nC. 4 log3 ( x2)  \nD. 8 log3 ( x )  \nE. 4 +x 2  \n12. (4 points) Let f ( x ) = x + 2. Determine f−1 ( x) .  \nA. x 3 + 2  \nB. ( x−2)3  \nC. ( y −2)3  \nD. x 3 −2  \nE. ( x + 2)3  \n13. (4 points) Determine sin −1( ~~ ~~~~1~~ ). Give your answer in radians.  \nA.  −1 6 π  \nB. ~~ 16~~ π  \nC.  −1 3 π  \nD. ~~13~~ π  \nE.  11 6 π  \n14. (4 points) Simplify ~~2~~x6 co","cbCaiksjFECl3ySF","https://ap.wps.com/l/cbCaiksjFECl3ySF","pdf",1518023,31,"English","# General Instructions\n# Multiple Choice (Questions 1-30)\n# Free Response (Questions 31-47)","[{\"question\":\"How long do students have to complete this final exam?\",\"answer\":\"Students have 3 hours to complete the exam.\"},{\"question\":\"What is the total point value and how is it divided between question types?\",\"answer\":\"The exam totals 220 points: 30 multiple-choice questions worth 120 points and 17 free-response questions worth 100 points.\"},{\"question\":\"Are calculators, notes, or other resources allowed?\",\"answer\":\"No. Calculators, notes, or other resources are not allowed, and students must work alone.\"}]","Precalculus SM005 - Fall 2017-2018 - Final Exam - December 12, 2017 | PDF",1790762680,78]