MA 153 Exam 3A Spring 20031Use the following functions to answer questions #1, 2, and 3:fx()=3xx + 4 and gx()= x -11. Find and simplify gg6()().A.45B.25C.53D.35E. None of the above2. Find and simplify f - g()-3().A.237B. - 7C. -13D. - 5E. None of the above3. Solve the following equation for x.g o f()x()= 0A. x =-1, x = 0B. x = 0, x =1C. x = 2D. x =1E. None of the above4. Solve the following system of equations for x.y = x2+ 4 x - 72x - y =-1ÏÌÔÓÔA. x =-1, x = 2B. x =-4, x = 2C. x =-1, x = 6D. x =-4, x = 6E. None of the aboveMA 153 Exam 3A Spring 200325. Let y = fx() be a function with domain D =-5, 3[] and range R =-2, 7[]. Find the domain D andthe range R for y = 4 fx- 3().A. D =-2,6[], R =-8,28[]B. D =-5, 4[], R =-12,74ÈÎ͢˚˙C. D =-2,6[], R =-12,74ÈÎ͢˚˙D. D =-5, 4[], R =-8,28[]E. None of the above6. Which of the following depicts the graph of the following function?hx()=x + 3 if x £-1x2 if x >-1ÏÌÔÓÔxyE.C.xyxyD.xyB.A.xyMA 153 Exam 3A Spring 200337. Given the function, fx()= 4 -5x, find the inverse function, f-1.A. f-1x()=x4 x - 5B. f-1x()=54 - xC. f-1x()=5 - 4 x20D. f-1x()=4 x - 5xE. f-1x()=20 - x58. Solve the following inequality. Express your answer in interval notation.x + 2()x -1()x + 5< 0A. -•,-5()»-2,1()B. -2,1()C. -5,-2()» 1, •()D. -•,-2()» 1, •()E. None of the above9. Express the parabola fx()= 2x2- 4 x + 5 in standard form.A. fx()= 2 x + 1()2+11B. fx()= 2 x -1()2+ 4C. fx()= 2 x -1()2+ 3D. fx()= 2 x - 2()2+1E. None of the aboveMA 153 Exam 3A Spring 2003410. Given below is the graph of a function, y = fx(). Find the intervals for which fx()≥ 0.A. -•,-4(]» 3, •[)B. -4,-2[]» 3, •[)C. -4,3[]D. -•,-4(]»-2, 3[]E. None of the above11. Find the standard equation of a parabola whose y-coordinate of the vertex is 4 and whosex-intercepts are -3 and 1.A. y =-74x + 1()2+ 4B. y =- x + 1()2+ 4C. y =-14x -1()2+ 4D. y =-316x -1()2+ 4E. None of the above12. The monthly population of a certain town is directly proportional to the cube of the number ofavailable jobs in that month and inversely proportional to the sum of the number of crimescommitted and the number of streets under construction in that month. In April, there were 320available jobs, 52 crimes committed, and 28 streets under construction. The population for Aprilwas 245, 760 people. Find the constant of proportionality, k.A. k = 0.6B. k = 10.92C. k =1.7D. k = 7.95E. Cannot be determined13. Ten liters of a 30% acid solution is obtained by mixing a 20% solution with a 50% solution. If xrepresents the amount of the 20% solution used, find the equation to solve for x. Do not solve.A..2x + .5x = .3()10()B..210- x()+ .5x = .3C..2x + .5 10 - x()= .3D..210- x()+ .5 10 - x()= .3()10()E..2x + .5 10 - x()= .3()10()xy-43-2MA 153 Exam 3A Spring 2003514. Given below is the graph of a one-to-one function, f. Which of the following depicts the graph ofthe inverse function, f-1.15. An object is projected vertically upward from the top of a cliff with an initial velocity of 96 ft./sec.Its distance, st(), in feet above the ground after t seconds is given by st()=-16t2+ 96t + 50.Find the object’s maximum distance above the ground.A. 224 feetB. 194 feetC. 94 feetD. 50 feetE. None of the aboveE.y = fx()2,0()0,1()-16,3()xyA.2,0()0,-1()xy-16,-3()C.xy0,-2()-1, 0()-3,16()B.xy1, 0()3, -16()0,2()D.xy-2,0()0,1()16,3()None of theseMA 153 Exam 3A Spring
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