Products of linear functions Products of more than two linear functions Use the Product of three linear functions tool to explore the properties of these functions. Investigate the different shapes that the graph of a product of three linear functions can assume. Describe these shapes in terms of the domains in which the function is increasing or decreasing, the maximum and minimum points, and the points of intersection with the axes. Check special cases: What happens when two or more of the linear functions are identical? Provide explanations for phenomena that you noted. Raise conjectures about the properties of functions that are products of more than three linear functions. You can explore these functions with the Representation of functions tool.

Product of linear functions Product of linears - one coordinate system Standard product form Product of three linear functions What times what? Constructing product functions Different correspondence rules Factoring Rabbit cage Fencing two areas Optimal fencing Products of more than two linear functions Designing a box Exercise 1 Exercise 2 Exercise 3 Exercise 4 Exercise 5 Exercise 6 Exercise 7 Exercise 8 Exercise 9