1) This is a nonlinear function because the exponent of 2 makes it quadratic, not linear.
2) Some values in the table could be:
- s = 1, A = 1
- s = 2, A = 4
- s = 3, A = 9
- s = 4, A = 16
- s = 5, A = 25
and so on.
3) When you plot these points, the graph is increasing because as the side length (s) increases, the area (A) also increases.
4) The domain for this equation would include all positive values for s. In other words, any positive real number could be the side length of a square.
The equation for the area of a square could be written: A = s squared 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?
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