The domain of a function refers to the set of all possible input values (or ‘x’ values) that can be used in the function. In the context of the function you’ve provided, which has a specified range of {25, 64}, we need to deduce what values of ‘x’ correspond to these outputs.
Assuming the function is defined in a standard mathematical way, every output in the range is linked to at least one input in the domain. If the range consists of only two values, 25 and 64, this suggests that the function operates in a discrete manner. Therefore, there could potentially be specific values of ‘x’ that lead to these outcomes.
To determine the domain more accurately, we would generally require additional information about the function itself, such as its defining equation. However, if we visualize the function conceptually:
- The domain can consist of values that, when input into the function, yield 25 and 64 as outputs.
- Each output (25 and 64) could correspond to one or more different input values. Thus, the domain might be a set of discrete points, potentially like: {x1, x2, …, xn}
In conclusion, without knowing the specifics of the function, we can’t definitively specify the domain. However, it is clear that it includes any input values that map to the specified outputs in the range {25, 64}. If more context regarding the function is provided, we could refine the domain further.