Final-exam-review-filled - Math 1310 Final Review Fall 2011...

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Math 1310 Final Review Fall 2011 1. Find the slope of the line that passes through the points (4, 12) - and ( 1,6) - . 2. Find the x- and y-intercepts of the line 2 4 3 x y - = - 3. Solve by the quadratic formula: 2 4 1 0 x x - + - = . 4. Solve: 2 49 0 x = . 5. Simplify: 2 3 4 i i - .
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6. Solve: 2 20 1 3 6 x x = 7. Solve the inequality -2 < 2 – x < 6 and express your answer in interval notation. 8. Solve the inequality 2 |1 11 | 6 - x and express your answer in interval notation. 9. A rectangles length is three times its width. If the perimeter of the rectangle is 32 feet, find the length of the rectangle.
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10. Q is jointly proportional to C and W. If C = 4 and W = ½, Q = 5. Find the constant of proportionality and write the equation that expresses the relationship between Q, C and W. 11. Given the function defined by 2 2 1 if 1 ( ) 4x if 1 x x f x x - < = Find (1) f , (0) f and (3) f . 12. Given the function 2 ( ) 2 4 1 f x x x = - + + , write it in standard form, find the vertex, the y-intercept, the x-intercepts, and the minimum or maximum value of the function.
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13. Let 3 ( ) 2 f x x = - . Let g be the inverse of f. Find the equation for g.
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