Quadratic growth
Correspondence rules and quadratic growth

This task focuses on the question: If a correspondence rule defines a function with quadratic growth, what features of quadratic growth can be gleaned from the correspondence rule?

Below are examples of correspondence rules. Click the button next to a rule to view the graphic and numeric representations of the function it defines, and of its change. Does the correspondence rule define a function with quadratic growth? If so, present the same function using the Quadratic growth tool.
  • Construct other correspondence rules that define functions with quadratic growth, and other correspondence rules that define functions without such growth.
  • What are the characteristics of correspondence rules that define functions with quadratic growth? What properties of quadratic growth can you glean from a correspondence rule?


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    x f change change of change
    grid
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    difference of x values





    Quadratic growth
    From value table to change

    Building blocks
    Growing shapes
    Saving the elephants
    Holiday cards
    Allowance
    Jackpot
    International calls
    Matchstick shapes
    Computer network
    Cutting the cake
    Correspondence rules and quadratic growth