Sample_Final115

# Sample_Final115 - Math 115 Sample Final Exam The final exam...

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Math 115 Sample Final Exam The final exam will consist of 30 Multiple-Choice problems. The practice problems below are intended to be representative of what might appear on the actual exam. Multiple-Choice 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 3. Evaluate lim x 5 x 2 - 2 x - 15 x - 5 . 4. Find the horizontal asymptotes of function f ( x ) = x 4 + 1 1 + 4 x 2 . 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). 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 ). 1

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8. Find the marginal revenue for the revenue function found in Problem 7.
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