math1414exam3review.PDF - MATH 1414 Exam 3 Review Name...

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MATH 1414 Exam 3 Review Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the quest Use the equation and the corresponding graph for the quadratic function to find what is requested. 1) f(x) = (x - 3) 2 - 2 Find the coordinates of the vertex. 1) A) ( - 3, 2) B)( - 3, - 2) C)(3, - 2) D) (3, 0) 2) f(x) = - 2 (x - 5) 2 + 1 Find the coordinates of the vertex. 2) A) (5, - 1) B)( - 5, 1) C)(5, 1) D) (1, 5) Identify the vertex of the parabola. 3) f(x) = (x - 6) 2 - 1 3) A) ( - 1, 0) B)( - 1, 6) C)(0, 6) D) (6, - 1) 4) f(x) = - 9(x + 7) 2 + 1 4) A) (7, 1) B)( - 63, 1) C)( - 7, 1) D) ( - 7, - 1) 1
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5) y = x 2 - 6x + 10 5) A) (1, 0) B)(3, 1) C)(1, 3) D) (0, 3) 6) y = - 2x 2 + 8x - 8 6) A) (0, 2) B)(2, 0) C)( - 2, 0) D) (0, - 2) Solve the problem. 7) The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches: M(x) = 19x - x 2 . What rainfall produces the maximum number of mosquitoes? 7) A) 19 in. B)9.5 in. C)361 in. D) 0 in. Use synthetic division to perform the division. 8) x 3 - x 2 + 5 x + 2 8) A) x 2 + 3x + 6 + - 7 x + 2 B) x 2 - 3x + 6 + - 7 x + 2 C) x 2 - 2x + 6 + 6 x + 2 D) x 2 - 3x + 6 + 6 x + 2 2
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9) x 4 + 8x 3 + 12x 2 - 14x + 5 x + 5 9) A) x 3 + 4x 2 - 3x - 1 B)x 3 + 3x 2 - 6x + 3 C)x 3 + 3x 2 - 3x + 1
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