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The jargon for the yo-yo issue that you're seeing is "boomerang" motion.
Here's a Community Help search for boomerang that returns many resources that explain the issue and how to avoid it.
Or you could go straight to the "Controlling change with interpolation" section of Help, which addresses this issue.
I think that the image cache is a red herring here.
Also, After Effects uses the term interpolation, not tweening. Knowing that will help you to find answers in After Effects resources.
As Todd pointed out, "interpolation" is a more appropriate term and you will find a lot more information that way, not just for AE, but also for other programs, including 3D tools (should you ever plan on using them). Regarding your problem, keep in mind that AE treats spatial interpolation (the actual position inbetween keyframes) and temporal interpolation (the speed inbetween keyframes) separately. You may wish to use a perfectly linear spatial interpolation, but make your temporal stuff slow down and accelerate gradually, which can be best done using the Ease Ease in and Easy Ease out keyframe assistants.
thanks for the instructions, I come from the world of flash, hence the "tweening" comments. Thank you both for your input, I"ll check both out. Just for a simple fix for anyone else reading this on a deadline, right click and choose "hold keyframe" to fix. But also read/watch the above links as to WHY.
Or, you could have selected all of the keyframes in the timeline, right-clicked on one of the selected keys, chose "keyframe interpolation", and set the spatial interpolation to Linear. Keep in mind that you can set that as a preference in the first pane (General) of the preferences: "Default Spatial Interpolation To Linear".