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Unformatted text preview: Math 201 Final Exam Section: ID# or Group: Name: In multiple choice problems, circle your answer. Work on multiple choice problems will not be graded. In all other problems, show all appropriet work to receive credit. Place answers in blanks provided. Point value of each problem is 5 points unless otherwise indicated. Calulators may not be used on this exam. 1. Solve for x : 1 2 ( x 1) 1 3 x = 4 2. Solve for x : x 2 = 7 x 5 2 . The sum of the two solutions is: a) 9 b) 9 c) 5 d) 5 e) None of the above 3. Solve for x : 2 x 2 + 3 x 1 = 2 4. A certain electrponic device is to be operated in an environment with relative humidity h in the interval defined by 4 h 50 ≤ 30 . Identify the minimum and maximum values of relative humidity possible for the operation of this device. Minimum: Maximum: 5. Graph y = f ( x ) =  x if x < 2 if ≤ x ≤ 3 2 x if x > 3 (6 points) x y 1 2 3 1 2 3 6. For f ( x ) = x + 1 and g ( x ) = √ x , find: (2 points each) a) ( f + g )( x ) b) ( fg )( x ) c) ( f ◦ g )( x ) d) ( g ◦ f )( x ) e) The domain of ( g ◦ f ) stated as an interval. 7. Find the inverse of the function y = f ( x ) = 2 x 1 . Show all appropriate steps . 8. Identify the intercepts, domain and range of the function y = f ( x ) = x 2 + 2 x + 1 ....
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 Spring '08
 SMITH
 Math, Cartesian Coordinate System, Elementary mathematics, Graph of a function

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