72 - Math 19500 Final Examination December 2006...

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Math 19500 Final Examination December 2006 Instructions: Do 13 questions from Part I and 5 questions from Part II. Show all work. Calculators are not permitted. Part I. Answer any 13 questions (5 points each) 1. Solve the inequality 4 3 2 + x . Write your answer in interval form. 2. Find an equation of the straight line through the point (4, –7) that is parallel to the line with equation 4x – 3y = 5 . 3. Sketch the graph of the parabola with equation . On your sketch, show and label the vertex and all intercepts. 2 2 x x y = 4. Sketch the graph of . Show and label all intercepts and asymptotes. x e y = 2 3 5. Given x x f = 3 2 ) ( , find and simplify h x f h x f ) ( ) ( + . 6. Given and 2 3 ) ( x x x f = 2 ) ( + = x x g ; find and simplify )) ( ( )) ( ( x f g x g f . 7. Find the inverse of the function x x x f + = 1 2 ) ( . 8. The area of a circle of radius r is given by . Express the diameter D of the circle as a function of A. 2

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This note was uploaded on 10/28/2011 for the course MATH 195 taught by Professor Ocken during the Spring '11 term at CUNY Hunter.

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72 - Math 19500 Final Examination December 2006...

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