Do not put unnecessary marks on any part of this SLM. We trust that you will be honest in using these. Answer keys are provided for each activity and test. At the end of each module, you need to answer the post-test to self-check your learning. This will tell you if you need to proceed on completing this module or if you need to ask your facilitator or your teacher’s assistance for better understanding of the lesson. Pre-tests are provided to measure your prior knowledge on lessons in each SLM. Each part shall guide you step-by-step as you discover and understand the lesson prepared for you. Activities, questions, directions, exercises, and discussions are carefully stated for you to understand each lesson.Įach SLM is composed of different parts. They help provide a full picture of a function’s behavior, limitations, and possibilities.This Self-Learning Module (SLM) is prepared so that you, our dear learners, can continue your studies and learn while at home. Understanding the domain and range of a function is foundational in mathematics and its applications. Practical Limitations: In real-world applications, even if the domain and range are mathematically broad, practical constraints may limit them.Ambiguity: In some contexts, particularly with piecewise or multi-valued functions, defining a unique domain or range might be ambiguous.Complexity: For complex functions, finding the domain and range can be very difficult and may require advanced mathematical techniques.Issues and Limitations of Domain and Range Exclusions: Sometimes, the domain could be all real numbers except certain values where the function is undefined (e.g., division by zero).įormally expressing the domain and range depends on the function:.Intervals: Often, the domain or range is an interval, which could be open, closed, or half-open.All Real Numbers: Some functions can take any real number as input and output.Finite Set: For some functions, the domain or range is just a set of specific numbers.
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