MAD_1100_Fall_11_Exam_3_Review

MAD_1100_Fall_11_Exam_3_Review - Exam Review for Exam 3...

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Unformatted text preview: Exam Review for Exam 3 Exam 3 will be on 11/15/11 and covers the following sections: 5.1, 5.2, 5.3, 5.4, 5.5. Determine if each binary relation is an equivalence relation. 1) R = { (a, b) | a + b + 5 = odd } 1) 2) R = { (a, b) | a + 3b = even } 2) 3) R = { (a, b) | 2a + b + 3 = even } 3) 4) R = { (a, b) | 3a + 4b + 2 = odd } 4) Determine whether the relation represents a function. If it is a function, state the domain and range. 5) Alice Brad Carl snake cat dog 5) 6) Alice Brad Carl cat dog 6) 7) {(- 3, - 6), (2, 3), (3, - 3), (6, - 1)} 7) 8) {(- 1, - 3), (- 2, - 2), (- 2, 0), (2, 2), (14, 4)} 8) Find the value for the function. 9) Find f(- 2) when f(x) = x 2 + 2x + 3. 9) 10) Find f(7) when f(x) = x 2 + 2x . 10) 11) Find f(- x) when f(x) = x x 2 + 3 . 11) 12) Find f(- x) when f(x) = 3x 2- 5x + 2. 12) 13) Find f(- 1) when f(x) = x 2- 8 x - 2 . 13) Find the domain of the function. 14) f(x) = 6x - 1 14) 15) f(x) = x 2 + 2 15) 16) f(x) = x 2 x 2 + 19 16) 17) g(x) = 3x x 2- 9 17) 18) h(x) = x - 4 x 3- 49x 18) 19) f(x) = 17 - x 19) 20) f(x) = 5 - x 20) Find the domain and range. 21) f(x) = x - 4 21) 22) t(x) = 4 - x 22) 23) g(x) = x 2- 8 23) 24) g(x) = x 2- 1 24) 25) h(x) = |x| - 4 25) 26) t(x) = 9 - x 26) Graph the equation. 27) y = 4x 2 x-10-5 5 10 y 10 5-5-10 x-10-5 5 10 y 10 5-5-10 27) 28) y = x 2 + 4 x-10-5 5 10 y 10 5-5-10 x-10-5 5 10 y 10 5-5-10 28) 29) y =- x 2- 4 x-10-5 5 10 y 10 5-5-10 x-10-5 5 10 y 10 5-5-10 29) 30) y = x 2- 2 x-10-5 5 10 y 10 5-5-10 x-10-5 5 10 y 10 5-5-10 30) 31) y = x 2 + 8x + 9 x-10-5 5 10 y 10 5-5-10 x-10-5 5 10 y 10 5-5-10 31) 32) y = x 2- 6x + 8 x-10-5 5 10 y 10 5-5-10 x-10-5 5 10 y 10 5-5-10 32) 33) y = x 2- 6x + 7 x-10-5 5 10 y 10 5-5-10 x-10-5 5 10 y 10 5-5-10 33) 34) f(x) = x + 3 x-5-4-3-2-1 1 2 3 4 5 y 5 4 3 2 1-1-2-3-4-5 x-5-4-3-2-1 1 2 3 4 5 y 5 4 3 2 1-1...
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MAD_1100_Fall_11_Exam_3_Review - Exam Review for Exam 3...

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