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By Marina Cohen

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**Extra resources for 3-D Shapes**

**Example text**

The point where the axes cross is called the origin, which represents the ordered pair (0, 0). 10. 8, we analyze a small set of experimental data by plotting some points in the Cartesian plane. This simple type of graph is sometimes called a scatter plot. 10 Using a Graph Obtained from a Table of Data Suppose that you drop an object from the top of a building and record how far the object has fallen at different times, as shown in the following table. 0 Distance (ft) 0 4 16 36 64 Plot the points in the Cartesian plane and discuss any patterns you notice.

34b (often referred to as the local behavior of the function). 5. 3 Sketching the Graph of a Rational Function x −1 and describe the behavior of the graph near x = 2. 35b. From either graph, it should be clear that something unusual is happening near x = 2. 35c. 35c, it appears that as x increases up to 2, the function values get more and more negative, while as x decreases down to 2, the function values get more and more positive. cls 24 CHAPTER 0 .. ) This is also observed in the following table of function values.

1 < 2 − x < 3 9. −2 < 2 − 2x < 3 10. 0 < 3 − x < 1 11. x 2 + 3x − 4 > 0 12. x 2 + 4x + 3 < 0 13. x 2 − x − 6 < 0 14. x 2 + 1 > 0 15. 3x 2 + 4 > 0 16. x 2 + 3x + 10 > 0 17. |x − 3| < 4 18. |2x + 1| < 1 19. |3 − x| < 1 20. |3 + x| > 1 21. |2x + 1| > 2 22. |3x − 1| < 4 23. x +2 >0 x −2 24. x −4 <1 x +1 25. x2 − x − 2 >0 (x + 4)2 26. 3 − 2x <0 (x + 1)2 −8x <0 (x + 1)3 28. x −2 >0 (x + 2)3 1. 3x + 2 < 11 2. 4x + 1 < −5 27. 3. 2x − 3 < −7 4. 3x − 1 < 9 ............................................................