Custom animation curve
I've got an animation curve, that jumps with the full speed and then slows down exponentially. My goal is to have abrupt change of speed at the start of animation. and then ease it at the end. This is what you can get with keyframe handles.

I like the first 80% of it, but the last 20% isn't working for me. I'd like to extend the ease of the last 20% percent, while maintaining the same curve the first 80%. If I just move the keyframe, than my abrupt change os speed at the start is lost. Ideally the animation would last 10s, but keeping the first second the same as depicted in the graph above. So basically, I'd like to reaaaaly ease the animation end. Adding more keyframes makes strange wiggly curve. What is the workaround for my problem?

