Which statements comparing the functions are true select three options is a common question that often appears in various educational and professional assessments. This type of question tests the understanding and knowledge of the functions being compared. In this article, we will discuss three true statements that can help you identify the correct options in such questions.
1. The first true statement is that functions can be compared based on their domain and range. The domain of a function refers to the set of all possible input values, while the range is the set of all possible output values. When comparing functions, it is important to consider whether the domains and ranges of the functions are the same or different. For example, if two functions have the same domain and range, they are considered to be equivalent functions.
2. The second true statement is that functions can be compared based on their graphical representation. Graphically, functions can be represented by curves or lines. By comparing the graphs of two functions, we can determine whether they are the same or different. For instance, if two functions have the same graph, they are considered to be identical functions. However, it is important to note that two functions with different graphs may still have the same domain and range.
3. The third true statement is that functions can be compared based on their algebraic representation. When comparing functions algebraically, we can look at their equations or expressions. If two functions have the same algebraic representation, they are considered to be the same function. However, it is essential to ensure that the functions are defined for the same set of input values. For example, two functions may have the same algebraic representation but different domains, making them distinct functions.
In conclusion, when faced with the question “Which statements comparing the functions are true select three options,” you can confidently select the following three true statements: functions can be compared based on their domain and range, their graphical representation, and their algebraic representation. By understanding these key aspects, you will be better equipped to identify the correct options in similar questions.
