The equation for the area of a square could be written: A=s^2

Question

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?

Answer 1

1) The equation A=s^2 is a nonlinear function.
2) Some values in the table where s is the side length and A is the area could be:
- s = 1, A = 1
- s = 2, A = 4
- s = 3, A = 9
- s = 4, A = 16
- s = 5, A = 25
- ...
3) When you plot these points, the graph is increasing. As the side length (s) increases, the area (A) also increases.
4) The numbers that would be included in the domain are all real numbers greater than or equal to zero. The side length of a square cannot be negative, so the domain includes all nonnegative real numbers.