Basics of the Graph Editor
Make a animation of a ball bouncing twice.

Open the Graph Editor.
Window > Animation Editors > Graph Editor...
Select the Translate Y channel and press f (View > Frame Selection)
The tangent is Clamped in the default as shown in figure above.

Select the Transelate Y channel and change the Tangent Linear.
It will be as above.

You can also change the Tangent at a keyframe.

Select a keyframe and Keys > Breake Tangents
Select the Translate Tool in the Tool Box.

With
mouse middle botton change the bars as above.→
The impression of animation changed.

Check View > Show Results
The extension of the curve appears.

Select Curves > Post Infinity > Cycle
The curve pattern will be repeated after the last keyframe.
Select Curves > Pre Infinity > Cycle
The curve pattern will be repeated before the first keyframe.
The curve before and after keyframes are changed.
The default setting of Curves > Post Infinity > and
Curves > Pre Infinity >
is Constant.
Japanese article
Maya tutorials:Graph Editor

Need more information about graph editor.
If you want information more,
I will add a more detailed explanation.
Thank you for your comment.
hi,
this is a nice tutorial... i was searching for graph editor tutorials every where.. at last got here to see one...thank you.
Thank you for your comment.