Answer
The graph of one to one function is obtained by the use the horizontal line test in order to graph its inverse function.
Work Step by Step
We know that if the inverse exists only for a one-to-one function, this can be checked by applying a Horizontal Line Test.
Suppose there is a graph of the function $f$ with coordinates $\left( x,\ y \right)$
So for the inverse function of $f$, which is ${{f}^{-1}}$, the graph can be plotted by substituting the value of x with the y coordinates of f. Therefore, coordinates of the graph of${{f}^{-1}}$ will be $\left( y,\ x \right)$.
Now exchange x and y coordinates. This is done because the domain of one function is the range of its inverse and vice-versa.
Thus, a graph of the inverse of a one-to-one function can be plotted.
