Question

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?

Answer 1

1) The equation A = s^2 is a nonlinear function because the variable(s) are raised to a power other than 1.

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 domain of this function would include all non-negative real numbers because the side length and area of a square cannot be negative.