Inverses

Linear Graph

The third method to find an inverse is by graphing. One of the characteristics of inverses is that they are symmetric about the line y = x also known as the identity line. When graphing inverses, switching the x and y-coordinates of a point and graphing on the other side of the line y = x will create an inverse.

Example Graph the inverse of the equation y = 2x + 3.

Step 1. Graph the equation y = 2x + 3.

Step 2. Graph the equation y = x.

Step 3. Find points on the line y = 2x + 3 and graph their symmetry points on the other side of the line y = x.

LinearGraph1

Remember, not all graphs produce an inverse that is also a function. This is true with quadratic graphs.