Study Notes
The domain of a function is the complete set of possible values of the independent variable. Example: For the function y = x + 4, the domain is x ≥ -4. The range of a function is the complete set of all possible resulting values of the dependent variable after substituting the domain. Example: For the function y = x + 4, the range is y ≥ 0.
Exam Tips
Key Definitions to Remember
- The domain is the set of all possible input values (x-values) for a function.
- The range is the set of all possible output values (y-values) for a function.
Common Confusions
- Confusing domain with range.
- Forgetting to consider restrictions like square roots or denominators.
Typical Exam Questions
- What is the domain of y = x + 4? x ≥ -4
- What is the range of y = x + 4? y ≥ 0
- Find the domain and range of f(x) = x² - 4x + 5. Domain: all real numbers; Range: y ≥ -3
What Examiners Usually Test
- Understanding of how to determine the domain and range from a function.
- Ability to apply restrictions to find the domain and range.