The equation for the area of a square could be written A = s ^ 2 (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) This equation is a nonlinear function because it involves squaring the variable.
2) Some values in the table could be:
- s = 1, A = 1 (since 1^2 = 1)
- s = 2, A = 4 (since 2^2 = 4)
- s = 3, A = 9 (since 3^2 = 9)
- and so on.
3) When you plot these points, the graph will increase as the side length increases. The area of the square will increase exponentially as the side length increases.
4) The domain for this equation would include all positive real numbers for the side length (s > 0) since the side length of a square cannot be negative or zero.