Peacewise function in real life. Create your own problem, formulate, table, and graph

### Explanation:
The graph shows how the temperature inside the house changes throughout the day according to the smart thermostat's settings. The step-like nature of the graph reflects the piecewise function, where the temperature remains constant within each time interval and then changes suddenly at specific times.

### Would you like more details or have any questions?

### Relative Questions:
1. How does the piecewise function change if we add a different temperature range during the afternoon?
2. Can you calculate the average temperature maintained in the house over the 24-hour period?
3. What would happen to the piecewise function if the house was unoccupied for a longer period during the day?
4. How would you modify the function if the thermostat had a gradual temperature change instead of sudden steps?
5. Can you create a similar piecewise function for the heating system in winter?
6. How does the concept of a piecewise function apply to billing in utility companies?
7. What are some potential real-life scenarios where the temperature settings might need to be adjusted?
8. How would the graph look if the thermostat malfunctioned and did not change the temperature as scheduled?

### Tip:
When working with piecewise functions, always consider the context and ensure the function's conditions align with real-life scenarios for accurate modeling.

Explore how piecewise functions model real-life scenarios using a smart thermostat example. Learn about the step-like graph representing temperature changes throughout the day. Suitable for students in Grades 9-12.

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