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Unformatted text preview: Math 115 Sample Final Exam The final exam will consist of 30 MultipleChoice problems. The practice problems below are intended to be representative of what might appear on the actual exam. MultipleChoice Problems 1. Let f ( x ) = √ x +1 x 2 . The domain of f is (A) (∞ , 2) and (2 , + ∞ ) (B) (∞ , 2] and [2 , + ∞ ) (C) [ 1 , 2) and (2 , + ∞ ) (D) [ 1 , + ∞ ) (E) None of the above 2. Let f ( x ) = x x 2 +1 and g ( x ) = 1 x . Then, ( g ◦ f )( x ) is (A) x x 2 + 1 (B) 1 x (C) x + 1 x (D) x (E) None of the above 3. Evaluate lim x → 5 x 2 2 x 15 x 5 . (A) 3 (B) 8 (C) 0 (D) Does not exist (E) None of the above 4. Find the horizontal asymptotes of function f ( x ) = √ x 4 + 1 1 + 4 x 2 . (A) y = 1 (B) y = 1 4 (C) x = 1 (D) No horizontal asymptotes (E) None of the above 5. Find the vertical asymptotes of function f ( x ) = 2+ x (1 x ) 2 . (A) x = 2 (B) x = 1 (C) y = 0 (D) No vertical asymptotes (E) None of the above 6. Suppose that F ( x ) = f ( x ) 2 + 1, f(1) = 1, and f (1) = 3. Find F (1). (A) 3 (B) 4 (C) 5 (D) 6 (E) None of the above 7. The unit price p and the quantity x demanded are related by the demand equation 50 p ( x 2 + 1) = 0. Find the revenue function R = R ( x ). (A) 50 x x 2 + 1 (B) 50 x 2 + 1 (C) x x 2 + 1 (D) x 2 + 1 50 (E) None of the above 1 8. Find the marginal revenue for the revenue function found in Problem 7. (A) 100 x ( x 2 + 1) 2 (B) 1 x 2 ( x 2 + 1) 2 (C) x 25 (D) 50(1 x 2 ) ( x 2 + 1) 2 (E) None of the above 9. The line tangent to y = x 2 3 x through the point (1, 2) has the equation (A) y = x 3 (B) y + 2 = (2 x 3)( x 1)...
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This note was uploaded on 05/13/2008 for the course MATH 115 taught by Professor Bayer,margaret during the Spring '08 term at Kansas.
 Spring '08
 Bayer,Margaret
 Math, Calculus

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