A person who looks at a sequence of 14, 12, 10, 8 and decides that the next two terms are 6 and 4 is doing deductive thinking.
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The range of a function is the set of all values that it can take when its independent variable takes values on the domain.
On the other hand, the range of a function is the domain of its inverse function, if that inverse exists, and vice-versa: the domain of a function is the range of its inverse function, if that inverse exists.
In the case of the given equation:
The inverse function exists since the function is linear, and it can be found by isolating <em>x</em>:
If the range of the original function is the set given by the number {
