Addition and subtraction of linear functions
Constructing a difference graph


The dynamic figure below shows the graphs and value tables of two linear functions, and of their difference. You can click the appropriate button to decide whether the difference function will be increasing, decreasing, or constant, and obtain new examples of pairs of functions that illustrate your choice.

For each type of difference graph, describe the relation between the graphs of a pair of functions with that difference.
  • Use the Finding functions with a given difference tool to select a type of difference graph and find the f and g functions whose difference f-g is the function displayed.


  • g f
    f-g
    increasing
    decreasing
    constant






    Addition of linear functions
    Subtraction of linear functions

    Relations between functions and their sum
    Properties of the difference graph
    Constructing a 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