Long description: circle7

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The image displays two graphs, side-by-side, representing the functions \(f_1(x) = \text{positive root of } 1 - x^2\) and \(f_2(x) = -\text{root of } 1 - x^2\).

Alt text: Two graphs are displayed side-by-side, showing a function \(f_1(x) = \text{positive root of } 1 - x^2\) and a function \(f_2(x) = -\text{root of } 1 - x^2\).

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  • The image contains two separate coordinate plane graphs positioned horizontally, representing two different functions of \(x\).
  • The graph on the left illustrates the function \(f_1(x) = \text{positive root of } 1 - x^2\), which is the upper semicircle of a circle centered at the origin with a radius of one unit.
  • The graph on the right illustrates the function \(f_2(x) = -\text{root of } 1 - x^2\), which is the lower semicircle of the same circle, also centered at the origin with a radius of one unit.
  • Both graphs share the same horizontal axis labeled \(x\) and the vertical axis labeled \(y\), with tick marks indicating \(-1\), \(0\), and \(1\) on both axes.

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