Graphing inverse functions can seem tricky, but there are some simple ways to make it easier. Here are a few helpful tips:

1. Reflect Over the Line $y = x$: One of the simplest ways to find the graph of an inverse function is to reflect the original function over the line $y = x$.

   For example, if you have a function like $f(x) = x^2$, its inverse will be $f^{-1}(x) = \sqrt{x}$. When you reflect the parabola (the shape of the graph of $y = x^2$), you’ll see it turns into the right half of a sideways parabola.

2. Switch Coordinates: Another easy method is to switch the $x$ and $y$ coordinates of points from the original graph.

   For instance, if the original function goes through the point $(2, 3)$, then its inverse will go through the point $(3, 2)$.

3. Check for One-to-One: Keep in mind that not all functions have inverses. A function must be one-to-one (which means it passes the horizontal line test) to have an inverse that is also a function.

4. Use Technology: You can also use graphing tools, like calculators or software like Desmos. These can help you see both the function and its inverse at the same time. You can plot them together to see how they reflect off each other.

By using these methods, you’ll find that graphing inverse functions is much easier and clearer!