Final answer:
For a constant function f(x) = 10 with conditions 0≤x≤20, the range of f(x) is 10. The possible values for x are every real number between 0 and 20, inclusive. Context such as observed data may affect the defined range of x.
Step-by-step explanation:
The question appears to be from a mathematics subject at the high school level, that focuses on understanding the range of possible values for x in a given scenario or function. Without a specific diagram or function provided, a general approach can be outlined. For a function represented by f(x) = 10, where 0≤x≤20, the range is typically the set of all possible values of f(x). Since f(x) is a constant value here, the range would simply be the value of f(x), in this case, 10. Regarding the values of x, since the condition given is 0≤x≤20, the range of possible values for x is simply every real number between 0 and 20, inclusive.
However, if the question is about x values in the context of data analysis, as hinted by the reference to observed x values being between 65 and 75, the appropriate range of x is determined by the dataset and context provided. For example, if you cannot reliably predict the variable outside the observed range, it indicates the limitations of the dataset rather than a mathematical function.