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Beginning Pre-Calculus for Game Developers by Boris Meltreger, John P. Flynt

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Depicting Absolute Values

You can view a given absolute value as representing two values, one positive and one negative. Consider, for example, that you begin with an equation such as y = |x|. If you solve this equation for values ranging from 0 to 14, you end up with the graph Figure 7.4 illustrates. The values of x extend in positive and negative directions that reflect distances of the value from zero. The distances can be negative or positive.

Figure 7.4. The graph of an absolute value rises to the left and right of the y axis.

When you create a graph in which the points are at equal positions across a given line, they are symmetric with ...

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