Graphs of an inverse function are symmetrical to its original function along the line y=x.

To answer the question, we need to understand the concept of inverse functions and their relationship to their original functions.

1. Start by understanding what an inverse function is. An inverse function is a function that "undoes" the action of the original function. In other words, if we have a function f(x), the inverse function, denoted as f^-1(x), will reverse the effect of f(x).

2. Graph the original function f(x) on a coordinate plane. This will give us a visual representation of the function.

3. To find the inverse function, switch the x and y variables in the equation of the original function. This means that if the original function is y = f(x), the inverse function will be x = f^-1(y).

4. Solve the equation obtained in step 3 for y. This will give us the equation of the inverse function.

5. Graph the inverse function on the same coordinate plane as the original function.

6. Observe the graphs of the original function and its inverse. You will notice that they are symmetrical to each other along the line y = x. This means that if you were to fold the graph along this line, the two graphs would perfectly overlap.

7. This symmetry along the line y = x is a characteristic of inverse functions. It shows that the inverse function "reverses" the x and y values of the original function.

In conclusion, the graphs of an inverse function are symmetrical to its original function along the line y = x.