Determine which domain corresponds to the described function:
The function describes a person's energy level throughout the day.
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Determine which domain corresponds to the described function:
The function describes a person's energy level throughout the day.
Logically, a person's energy level throughout the day changes and depends on many factors.
On one hand, energy levels rise for example when a person eats or consumes caffeine.
On the other hand, energy levels drop when for example a person moves a lot or exercises.
Therefore, the domain that fits this function is - partly increasing and partly decreasing.
Partly increasing and partly decreasing
Is the function in the graph decreasing?
A function can increase in some intervals and decrease in others! For example, your energy might rise after breakfast (increasing) but drop after exercise (decreasing). This creates a function that's partly increasing and partly decreasing.
The domain here refers to the behavior pattern of the function, not the input values. We're analyzing whether the function goes up, down, or both throughout its range.
Think logically! If energy always increased, you'd have infinite energy by the end of the day. Real life shows energy rises and falls based on activities like eating, sleeping, and exercising.
Look for cause-and-effect relationships! Ask: 'What makes this go up?' and 'What makes this go down?' For energy:
Not for well-understood real-life situations! We can predict energy patterns because we understand human biology. Save 'impossible to know' for truly unpredictable or undefined mathematical scenarios.
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