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M2412Final-ReviewF09 - Math 2412 Review for Final Exam Fall...

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Unformatted text preview: Math 2412 Review for Final Exam Fall 2009 Instructor: Ahmed Rashed Name (print) MULTIPLE CHOICE [Actual Exam: 25 problems, 3 points each] Instructions: Choose one, and only one , answer for each question, and record your answer on the scantron sheet. Only the answers recorded on the scantron sheet will be graded Good luck. 1. What is the inverse, f & 1 ( x ) ; of the function f ( x ) = 5 x + 3 x & 2 ? (a) 3 x + 2 x & 5 (b) 2 x + 3 x & 5 (c) 5 x + 2 x & 3 (d) 5 x & 3 x + 2 (e) x & 2 5 x + 3 2. Approximately, how long will it take an investment of $6000 to double in value if the interest rate is 3 : 7% compounded continuously ? (a) 14 years (b) 15 years (c) 16 years (d) 17 years (e) 19 years 3. What is the x & intercept of the function y = 1 3 & 9 x & 2 (a) & 2 3 ; ¡ (b) & 1 2 ; ¡ (c) & 1 3 ; ¡ (d) ( & 3 ; 0) (e) & 3 2 ; ¡ 4. Rewrite 1 2 ln ( w ) & 2 ln ( x ) + ln( u ) & 5 ln ( y ) as a single logarithm (a) ln & x 2 u y 5 p w ¡ (b) ln & u p w x 2 y 5 ¡ (c) ln ( u p w ) ln ( x 2 y 5 ) (d) ln u ln p w ln x 2 ln y 5 (e) ln & p w ux 2 y 5 ¡ 5. The expression log 2 (32) + 2 log 4 (8) = (a) 7 (b) 8 (c) 9 (d) 10 (e) 12 6. The equation e x +5 = w can be written in logarithmic form as: (a) ln e = w x +5 (b) ln ( x + 5) = w (c) ln w = x + 5 (d) x + 5 = w (e) ln( x + 5) = ln w 7. What is the horizontal asymptote of the function: f ( x ) = 7 & 2 x & x 2 3 x 2 + x & 2 (a) y = 0 (b) x = 1 3 (c) y = & 1 3 (d) y = 7 3 (e) None 8. What is the slant (oblique) asymptote of the function: f ( x ) = 2 x 4 + x 3 x 3 & 1 (a) y = 2 x + 1 (b) y = 2 x (c) y = 2 x & 1 (d) y = 2 x + 3 (e) y = 0 1 9. The domain of the function f ( x ) = ln( x + 4) x & 2 is (a) (2 ; 1 ) (b) ( & 2 ; 4) [ (4 ; 1 ) (c) ( & 4 ; 1 ) (d) ( &1 ; & 4) [ ( & 4 ; 2) [ (2 ; 1 ) (e) ( & 4 ; 2) [ (2 ; 1 ) 10. What is the x & intercept of the function y = log 3 (5 x + 6) (a) & 6 5 ; ¡ (b) & 5 6 ; ¡ (c) & & 6 5 ; ¡ (d) & & 3 5 ; ¡ (e) ( & 1 ; 0) 11. What is the sum of the solutions of the exponential equation...
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M2412Final-ReviewF09 - Math 2412 Review for Final Exam Fall...

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