Define what an inverse function is in terms of domain and range. and define what a function is in terms of domain and range.

Step-by-step explanation:

Let's start with a function first.  The domain of a function is all the x values that are covered by the graph of the function; the range is all the y values that are covered by the graph of the function.

In order to graphically find the inverse of a function, you literally switch the x and y variables and replot them.  For example if a point on your function is

(3, -1), then the point on its inverse is (-1, 3).  Because of this, you interchange the domains and the ranges.  Therefore, the domain of a function is the range of its inverse, and the range of a function is the domain of its inverse.

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