Sample_Final115

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

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 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 (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)...
View Full Document

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.

Page1 / 5

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

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online