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The equation \( A = s^2 \) represents a nonlinear function because the area \( A \) is a quadratic function of the side length \( s \).
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Here are some values for the table where \( s \) is the side length and \( A \) is the area:
| s | A (s²) | |-------|-----------| | 0 | 0 | | 1 | 1 | | 2 | 4 | | 3 | 9 | | 4 | 16 | | 5 | 25 | | 6 | 36 |
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When you plot these points, the graph is increasing because as the side length \( s \) increases, the area \( A \) also increases.
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The domain of this function consists of all non-negative real numbers since the side length \( s \) cannot be negative. Thus, the domain is \( s \geq 0 \) or in interval notation, \( [0, +\infty) \).