Final answer:
Domain and range are concepts used in mathematics to describe the inputs and outputs of a function or relation. Real-world examples include dressing appropriately for different weather conditions based on temperature, determining the most profitable quantity to produce in a business, and understanding age-related changes in heart rate in medicine.
Step-by-step explanation:
Domain and range are concepts commonly used in mathematics to describe the inputs and outputs of a function or relation. Here are three real-world examples of how domain and range can be used:
- Example 1: Let's say the function represents the temperature outside (input) and the corresponding clothing choice (output). The domain would be the range of possible temperatures, and the range would be the different clothing options available. This information is beneficial in helping people dress appropriately for different weather conditions.
- Example 2: In the context of a business, let's say the function represents the number of units produced (input) and the corresponding profit (output). The domain would be the range of possible numbers of units produced, and the range would be the different profit values. This information is beneficial in determining the most profitable quantity to produce.
- Example 3: In the field of medicine, let's say the function represents the age of a patient (input) and the corresponding heart rate (output). The domain would be the range of possible ages, and the range would be the different heart rate values. This information is beneficial in understanding age-related changes in heart rate and diagnosing potential health issues.