Rate of change of linear functions
Constant and non-constant rate



Below is a list of correspondence rules representing functions. When you click next to one of them, the graphic and numeric representations of the function and of its change appear in the tool. For each rule, check whether the function has constant change of change; if not, characterize the change of change.
  • Can you find, among these examples:
    - An increasing function with increasing change of change?
    - An increasing function with decreasing change of change?
    - An decreasing function with increasing change of change?
    - A decreasing function with decreasing change of change?
    - A function that does not fit any of the above descriptions?
  • What are the characteristics of correspondence rules that represent functions with a constant change of change? What information on the change of change can you glean from the correspondence rules that represent functions with a constant change of change?

  • f1 f2 f3
    f4 f5 f6
    f7 f8 f9
    f10 f11 f12

    x f change change of change
    grid
    f
    difference of x-values





    Change at a constant rate

    Gym
    200-meter dash
    Wages
    Swimming pool
    Burning calories
    Growing hair
    Currency exchange
    Bank accounts
    Value tables and rate of change
    Rides
    Trips
    Constant and non-constant rate
    Graphs and correspondence rules

    Exercise 1
    Exercise 2
    Exercise 3
    Exercise 4
    Exercise 5