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sm09rew4 - MAC 1140 EXAM 4 REVIEW SUMMER 2009 1 List the...

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MAC 1140 EXAM 4 REVIEW SUMMER 2009 1. List the potential rational zeros of the following polynomials. Do not attempt to °nd the zeros. a. f ( x ) = 2 x 5 ° x 4 ° x 2 + 1 b. g ( x ) = 6 x 4 + 2 x 3 ° x 2 + 20 2. Find the rational zeros of the polynomials. Don±t forget to °nd the possible rational zeros. a. f ( x ) = x 4 + 4 x 3 + 2 x 2 ° x + 6 b. g ( x ) = x 4 + x 3 ° 3 x 2 ° x + 2 3. Find a polynomial whose coe¢ cients are real numbers and has the degree and zeros given: a. Degree 4; zeros: i ; 1 + i b. Degree 5; zeros: 1 ; i; 2 i 4. Find all zeros of the function, using the given zeros a. f ( x ) = x 3 ° 4 x 2 + 4 x ° 16; zero: ° 2 i b. g ( x ) = x 4 ° 9 x 3 + 21 x 2 + 21 x ° 130; zero: 3 ° 2 i 5. Find the domain and zeros of the rational functions: a. f ( x ) = x 2 ° 1 x +1 b. g ( x ) = x 3 ° 8 x 2 +1 6. Graph the following rational functions: a. f ( x ) = 1 x +3 ° 2 b. g ( x ) = x ° 4 x 7. Find all vertical asymptotes, horizontal asymptotes, and holes for the following functions, and then graph them: a. f ( x ) = 3 ( x ° 1)( x 2 ° 4) b. g ( x ) = x 2 +3 x ° 10 x 2 +8 x +15 8. The concentration C
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