Addition and subtraction of linear functions Properties of the difference graph The graphs below describe pairs of functions f and g, and their differences (f-g). Explore the relationships between the three functions on the four graphs shown. Consider the following questions: What do we know about funtions f and g when the difference function is constant? Or increasing? Or decreasing? Or passes through the origin? Use the Subtraction of linear functions or the Binary calculator tool from the general tool list for help. 4 3 2 1 f g f-g f g f-g f g f-g f g f-g

Addition of linear functions Subtraction of linear functions Relations between functions and their sum Properties of the difference graph Constructing a given difference graph Shared savings Publishing a book Connection to the internet Car chase Hot and cold drinks Exercise 1 Exercise 2 Exercise 3 Exercise 4 Exercise 5