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Unformatted text preview: MAC2233 Test 1 (7 pts) 1. A function f has domain (∞ , ∞ ) and a function g has domain [ 2 , ∞ ); the domain of ( f + g )( x ) is given by: A. (∞ , ∞ ) B. ( 2 , ∞ ) C. (∞ , ∞ ) ∪ [ 2 , ∞ ) D. [ 2 , ∞ ) E. (∞ , 2) (7 pts) 2. The domain of the function h ( x ) = x +2 x 2 9 is given by: A. (∞ , ∞ ) B. (∞ , 9) ∪ (9 , ∞ ) C. (∞ , 9) ∪ ( 9 , ∞ ) D. (∞ , 3) ∪ (3 , ∞ ) E. (∞ , 3) ∪ ( 3 , 3) ∪ (3 , ∞ ) (7 pts) 3. If f ( x ) = x 2 5 and g ( x ) = √ x 2 + 25, then f ( g ( x )) is equal to: A. x 2 +20 B. √ x 4 10 x 2 + 50 C. ( x 2 5) √ x 2 + 25 D. √ x 2 + 25 5 E. x 4 10 x 2 +20 (7 pts) 4. Which of the following are true? I. lim x → + ∞ 2 x 2 +3 x 1 5 x 3 5 x +2 = 0 II. lim t → 2 t 2 3 t +7 4 t 2 +2 = 2 III. lim x → + ∞ 5 x 4 +3 x 8 4 x 2 +2 x +2 = + ∞ IV. lim t → 1 t 2 3 t +7 4 t 2 3 = 5 A. only I and II B. only I and IV C. only I, II, and IV D. only I, III, and IV E. I, II, III, and IV (7 pts) 5. A demand curve is given by p = d ( x ) = 60 2 x 2 and a supply curve is given by p = s ( x ) = x 2 + 9 x + 30 where x is the quantity demanded in thousands and p...
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This note was uploaded on 12/27/2011 for the course MAC 2233 taught by Professor Smith during the Spring '08 term at University of Florida.
 Spring '08
 Smith
 Calculus

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