Final answer:
The range of a mapping in mathematics is the set of all possible output values, which could be calculated from the given inputs and using the mapping formula. Different contexts might use 'range' differently, such as in physics or biology, but in this context, it refers to the interval of numbers you can get through the mapping.
Step-by-step explanation:
The range of a mapping is the set of all possible output values of the mapping. It is the set of values that you can get as an output when you input different numbers into the mapping formula. For instance, given the ranges and central points in the question, the ranges are intervals where we can find the central point. For example, with a range of 1.5-2.5, the central point will be 2. Thus, to find the range of a mapping, you would look for all the different possible outputs that can result from the inputs specified within the given context.
It's important to differentiate this from other contexts where 'range' might be mentioned. For instance, in the context of physics, the range could refer to the horizontal distance traveled by a projectile. In biology, the range could refer to the geographical distribution of a species. When discussing electromagnetic waves, the range could mean the spectrum of wavelengths or frequencies. However, the question at hand is focused on the mathematical concept of the range of a mapping, which is a set of numbers.