MA 153 Exam 2A Spring 2008 1. Find the midpoint of segment of AB, where ()4,1A − and ()1, 5B . ()().3,63.,42.1,35.,22. None of the above.ABCDE−⎛⎞−⎜⎟⎝⎠−⎛⎞−⎜⎟⎝⎠ Given below is the graph of a function, ()yfx= . Use this graph to answer questions #2 and #3: 2. Find . ()2f ()()()().23.25.20.21. None of the above. AfBfCfDfE==== 3. Find the interval(s) for which the function is increasing. (][)(][ ][][)[](][).,31,.,12,4.1,2 4,.3,1.,32,ABCDE−∞ − ∪ ∞−∞ − ∪−∪∞−−∞ − ∪ ∞ xy()3,0−y=f(x) ()1, 0()2,3()1, 4−−()4,0()5,21MA 153 Exam 2A Spring 2008 4. Multiply and express the following in the form abi+, where a and b are real numbers. ()223ii− .6 5.12 13.94.12 5. None of the above.AiBiCiDiE−+−+− 5. Solve for x. Simplify your solution(s). 2641xx++=0 .35.342.65.382. None of the aboveAx iBx iCx iDx iE=− ±=− ±=− ±=− ± 6. Solve the absolute value inequality given below. Express your answer in interval notation. 43x +≥9 (][)3.,3 ,23.3,23., 3,23.,2. None of the above.ABCDE⎡⎞−∞ − ∪ ∞⎟⎢⎣⎠⎡⎤−⎢⎥⎣⎦⎛⎤−∞ − ∪ ∞⎜⎥⎝⎦⎡⎞∞⎟⎢⎣⎠ 2MA 153 Exam 2A Spring 2008 7. Solve for x. Choose the answer that best describes the solution(s). 415xx+=− A. There is one solution. It is negative. B. There are two solutions. Both are positive. C. There is one solution. It is positive. D. There are two solutions. One is positive and one is negative. 8. Choose the correct graph of . 3 2 8xy−= 9. Find the slope of the perpendicular bisector of segment AB , where ()3, 1A− and . ()2,6B − E. There is no solution for x. 5.71.57.5.5. Cannot be determined.ABCDE xy11A. xy11B. xy11C. xy11E. xyD. 113MA 153 Exam 2A Spring 2008 10. Find the equation of the circle with center ()2, 3C− and passing through the point ()6, 4P−. ()()()()()()()()22222222.2 317.2 317. 2 3 113. 2 3 113. None of the above.Ax yBx yCx yDx yE++−=−++=−++=++−= 11. Find the domain of ()226310xfxxx+=+−. Express your answer in interval notation. [)[)( )()(]()()([)( ).3,. -5,2 2,.,5 5,3.,5 5,22,.3,2 2,ABCDE−∞∪∞−∞ − ∪ − −)−∞− ∪ − ∪ ∞−∪∞ 12. The point is on the graph of a basic function, (5, 3P −)()yfx=. Find the corresponding point on the graph of . ()41x=−yf ()()().20,2.4,123.6,4.6,123.4,4ABCDE−−⎛⎞−⎜⎟⎝⎠−⎛⎞−⎜⎟⎝⎠ 4MA 153 Exam 2A Spring 2008 5 13. A square vegetable garden is to be tilled and enclosed with a fence. The fence will cost $10 per foot and the cost of preparing the soil is $2 per square foot. Find the length of one side of the garden if the total cost is to be $600. .14 feet.12 feet.10 feet.8 feet. None of the aboveABCDE 14. Jake borrowed $1800 on an interest-free loan from his parents. After 8 months, he owed $840. Assume that the amount owed, A, is linearly related to the number of months, t, since the money was borrowed. Express A in terms of t. 1.1120. 120 1800. 120 151. 1800120. None of the above.AA tBA tCA tDA tE=− +=− +=− +=− +5 15. A balloon is released and rises vertically at a rate of 3 m/sec. A person is standing 50 meters from a point on the ground directly below the balloon (see the figure). If x represents the number of seconds since the balloon was released, express the distance, d, between the balloon and the person as a function of x. Simplify the function. ()()()()()222. 2509. 9 2500.350.350. 9 2500Adx xBdx xCdx xDdx xEdx x==−=+=−=+
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