The domain is all allowed -values of a function. In the coordinate system we find the domain by examining for which -values the function is graphed. Graph doesn't have any endpoints, which means that it's defined for all so it should be paired with domain Graph is drawn between and
This can be written as , which is domain Graph is plotted from to where the point at is not closed. This means that the function is defined for each value before, but the -value of the actual point is not included.
Thus, must then be greater than and less than or equal to This is written as which is domain In conclusion,
The range of a function can be derived from the -values of the plotted graph. Graph has no lower or upper limit, which means the range is all range Graph has its maximum value at the left-hand endpoint, where and its minimum value at the other endpoint, where .
Then range is, thus, range Graph has its maximum value at the right-hand endpoint, where Its minimum value is where
Therefore, the range is which is range In summary, we have