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Draw the graph of y=|(1)/(|x|)-2|....

Draw the graph of `y=|(1)/(|x|)-2|`.

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To draw the graph of \( y = \left| \frac{1}{|x|} - 2 \right| \), we will follow a systematic approach. Here are the steps: ### Step 1: Understand the function The function consists of two parts: \( \frac{1}{|x|} \) and the constant \( -2 \). The absolute value will affect the graph significantly, especially where \( \frac{1}{|x|} - 2 \) is negative. ### Step 2: Graph \( y = \frac{1}{|x|} \) 1. **Identify the asymptote**: The function \( \frac{1}{|x|} \) has a vertical asymptote at \( x = 0 \). 2. **Behavior of the function**: As \( x \) approaches 0 from either side, \( y \) approaches infinity. As \( x \) moves away from 0 (both positively and negatively), \( y \) approaches 0. ...
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