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Exam 2 - Spring 2005 - College Algebra Exam#2 Spring 2005...

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College Algebra Exam #2 Spring 2005 Name _____________________________ Show all your work on this paper. Solutions without correct supporting work will not be accepted. 1. Which of the following relations represent functions? Write “yes” in the blank if it is a function and “no” if it is not a function. (2 points each) _______ a. {(2,3), (-3,2), (-2,1), (1,-2), (0,-2)} _______ c. _______ b. 2. a. Write the equation of the line passing through the points (-1,4) and (3,-2). Put your answer in slope- intercept form. (8 points) b. What would be the slope of a line that is perpendicular to the line in part (a)? ________________ (2 pts) 3. Given 1 3 2 ) ( 2 + - = x x x f and 5 ) ( - = x x g , find: (10 points) a. ) )( ( x g f + b. ) )( ( x f g c. h x f h x f ) ( ) ( - +
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4. The table lists the average annual cost (in dollars) of tuition and fees at a private 4-year colleges for the selected years. (10 points) Year Tuition and Fees (in dollars) 1990 9,340 1992 10,448 1994 11,719 2000 16,233 a. Find a linear regression line that models the data. Round to 3 decimal places. Let x = 0 represent 1990. b. Use the model you found in part (a) to estimate the cost in 2006.
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