PracticeFinalExam - MAP 103: Proficiency Algebra Final Exam...

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MAP 103: Proficiency Algebra — Final ExamAnswer 10 questions at 10 points each. Show all work.1. LetA={0,}andB={1,2}.(a) Compute the setsABandAB.(b) Find|AB|+|AB|.2. A numberXhas the formulaX= 2A+ 3B+ 4C-12C+13B-14A.Find the value ofXwhenA=-1, B= 1, C= 2.3. Consider the linear inequality32(4x-8)612(2x-2) +34(4 + 4x).(a) Find and graph the solution set.(b) On the interval [-2,4],what is the smallest interval containing the least number of solu-tions to the given inequality?4. Consider the liney=-x-1.(a) Find the equation of the line that is parallel to the given line and contains the point(-1,1) in slope-intercept form.(b) Find the equation of the line that is perpendicular to the given line and contains the point(1,-1) in the slope-intercept form.5. Consider the quadratic equationp(x) = 2x2+ 3x-4.(a) Describe the nature of the roots.(b) If the graph ofp(x) intersects the liney=-x+1,what are the coordinates for the pointsof intersection? Justify your answer graphically and algebraically.6. Consider the relationR={(1,0),(2,ln 2),(3,ln 3),
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