Connecting Piecewise Functions to Graphs and Contexts

Connecting Piecewise Functions to Graphs and Contexts

Explore how piecewise-defined functions are built from multiple rules. Connect each piece of the function to its corresponding graph segment and to the motion of a remote car.


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Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

What do the parts of a single line in the equation of a piecewise function represent? For example, given the following equation:

Open-ended question 1

What does  represent? What does mean in relation to ?

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Open-ended question 2

Given the function calculate:

  • f(1)
  • f(-8)
  • f(2)
  • f(1000)

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Open-ended question 3

What other real-world scenarios can be modeled using piecewise functions?

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