The equation for the area of a square could be written: A=s2 (4 points) 1) Is this a linear or nonlinear function? 2) What are some of the values in the table where s is the side length and A is the area? 3) When you plot these points, is the graph increasing or decreasing? 4) What numbers would be included in the domain?
1) The equation A = s^2 represents a nonlinear function because it contains a quadratic term (s^2).
2) The table of values for different side lengths (s) and the corresponding areas (A) would look like:
s (side length) | A (area)
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1 | 1
2 | 4
3 | 9
4 | 16
5 | 25
3) When these points are plotted on a graph, the relationship between s and A shows that as the side length (s) increases, the area (A) also increases. Therefore, the graph is increasing.
4) The domain would include all real numbers greater than or equal to zero since side length cannot be negative or non-existent.