1330 HW8 (2.3) - Math 1330 Homework 8 (2.3) Problem 2.3.20...

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Unformatted text preview: Math 1330 Homework 8 (2.3) Problem 2.3.20 refers to problem 20 in Chapter 2, Section 3 in the online text. Record your answers to all the problems in the EMCF titled “Homework 8.” 1. Problem 2.3.20 b e A. B. Hole: ( 2, 0 ) Vertical Asymptote: x = –3 C. Hole: ( 6,0 ) Vertical Asymptote: x = 2 and x = –3 D. 2. 9 Hole: −3, − 5 None of the above Vertical Asymptote: x = 2 Problem 2.3.22 b c A. x-intercepts at x = –2 and x = 5 B. Hole: (–2, 0) x-intercept at x = 5 C. Hole: (5, 7) x-intercept at x = –2 D. 3. There are no holes. None of the above Problem 2.3.26 c f A. There are no x-intercepts. Horizontal Asymptote: none B. 7 (3, 0) and ,0 5 Horizontal Asymptote: y = 5 C. 7 ,0 5 Horizontal Asymptote: y = –5 D. 7 − ,0 and (– 4, 0) 5 Horizontal Asymptote: y = –5 E. None of the above 4. Problem 2.3.28: Find any vertical asymptotes. 8 5 A. x = 2, x = −2 B. x= C. x=0 D. x = 2 only E. x = −2 only 5. Problem 2.3.28: Which of these could be the graph of the function? A. B. C. D. E. 6. Problem 2.3.30 g h A. y=x−2 B. y = −x + 2 10 5 −10 10 5 −5 5 10 15 −10 −5 5 −5 −10 −15 C. −5 −10 10 −15 y = x −1 D. None of these 10 5 −10 −5 5 10 15 −5 −10 −15 7. Problem 2.3.32 a f A. ( −∞ , − 3 ) ∪ ( − 3 , 2 ) ∪ ( 2 , ∞ ) Horizontal Asymptote: y = 0 B. ( −∞ , − 6 ) ∪ ( − 6 , 1 ) ∪ ( 1, ∞ ) Horizontal Asymptote: y = −12 C. ( −∞ , − 2 ) ∪ ( − 2 , 3 ) ∪ ( 3 , ∞ ) Horizontal Asymptote: y = 2 D. None of the above 15 8. Problem 2.3.36 c f A. Horizontal Asymptote: y = 2 B. (0, 0) Horizontal Asymptote: y = 0 C. (0, 0) and (–5, 0) Horizontal Asymptote: y = 2 D. 9. (0, 0) None of the above Problem 2.3.44 c A. B. (-0.5, 0.6) C. (–1, 1) D. 10. (0, 2/7) None of the above Problem 2.3.46 b A. x=0 B. x=3 C. x = –1 D. None of the above For numbers 11 – 20, choose the correct graph for each function. ( x − 2 ) ( x + 3) f ( x) = ( x − 1)2 ( x − 1) ( x − 2 ) ( x + 3) f ( x) = ( x − 1) 2 ( x − 1) ( x − 2 )( x + 3) f ( x) = ( x − 1) 11. 13. 15. ( x − 2 ) 2 ( x + 3) f ( x) = ( x − 1) ( x − 2 ) ( x + 3) f ( x) = ( x − 1) 12. 14. A. B. 14 y 13 8 12 7 11 6 10 5 9 8 4 7 6 3 5 2 4 1 3 x −4 −3 −2 y −1 1 2 3 4 5 6 2 7 1 −1 −5 −2 −4 −3 −2 −1 x 1 −1 2 3 4 5 −2 −3 −3 −4 −4 −5 C. D. 4 y y 10 3 2 1 −8 −7 −6 −5 −4 −3 −2 −1 −1 5 x 1 2 3 4 5 6 7 8 x −2 −5 −4 −3 −2 −1 1 2 3 4 5 6 −3 −4 −5 −5 −6 −10 −7 −8 −9 −15 −10 −11 −12 −20 −13 −14 −25 −15 E. F. y y 4 3 10 2 1 5 x −5 −4 −3 −2 −1 1 2 3 4 5 6 x −1 −2 −3 −5 −4 −3 −2 −1 1 −5 −4 −5 −10 −6 −7 −15 2 3 4 5 16. 19. ( x + 2) ( x − 3) 2 ( x + 4 ) 2 ( x + 2 )( x − 3)2 f ( x) = ( x − 3)( x + 4 ) f ( x) = ( x + 2) ( x − 3)( x + 4 )2 ( x + 2 )2 f ( x) = ( x − 3) 2 ( x + 4 ) 2 f ( x) = 17. 20. 6 A. f ( x) = 18. ( x + 2) ( x − 3)( x + 4 ) y 5 4 3 2 1 x −8 −7 −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7 −1 −2 −3 −4 4 y B. 3 2 1 x −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7 −1 −2 C. 6 y 5 4 3 2 1 x −8 −7 −6 −5 −4 −3 −2 −1 1 −1 −2 −3 −4 2 3 4 5 6 7 y 4 D. 3 2 1 x −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7 −1 −2 y E. 10 5 x −20 −16 −12 −8 −4 4 8 12 16 20 −5 −10 −15 −20 −25 −30 6 F. y 5 4 3 2 1 x −8 −7 −6 −5 −4 −3 −2 −1 1 −1 −2 −3 −4 2 3 4 5 6 7 ...
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This note was uploaded on 02/20/2012 for the course MATH 1330 taught by Professor Staff during the Fall '08 term at University of Houston.

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