Write your answer to the question, and then continue with the tasks below.
The applet generates linear functions and their products by changing the parameters in the equation of the linear functions.
Set A.[br]f(x)=[br]g(x)=[br]h(x)=[br]zeros of f: [br]zeros of g:[br]zeros of f x g:
Set B.[br]f(x) = [br]g(x) =[br]h(x) = [br]zeros of f: [br]zeros of g:[br]zeros of f x g:
Set C.[br]f(x) = [br]g(x) =[br]h(x) = [br]zeros of f: [br]zeros of g:[br]zeros of f x g:
What is the same and what is different in Sets A, B, and C?
What statement(s) can you make about the zeros of two linear functions and the zeros of their product?
Can you explain why you think your conjectures will hold even for other pairs of linear functions?
What is your answer to the problem posed at the beginning of this activity?
Is it possible for the product of two linear functions to only have one zero? Why do you think so?
Generate examples of pairs of linear functions where the zeros of the product are additive inverses.
Can the product of any two linear functions be considered a function? Why do you think so?