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.
Task 1
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Task 2
What do the parts of a single line in the equation of a piecewise function represent? For example, given the following equation:
Task 3
What does represent? What does mean in relation to ?
Task 4
Given the function
calculate:
Task 5
What other real-world scenarios can be modeled using piecewise functions?