In Blender's animation workspace, what is the primary function of the graph editor?

The graph editor allows you to manipulate the interpolation and timing of animations between keyframes.

When animating the bouncing ball, why is it important to set the handle type to 'free'?

Setting the handle type to 'free' allows you to manipulate each handle independently, creating asymmetrical curves for more realistic bounces.

I can create a bouncing ball animation in Blender using the graph editor.

1
To animate an object in Blender, select the object, press i to insert a keyframe for its location, rotation, and/or scale at different points in time.
2
The graph editor in Blender allows you to manipulate the interpolation of movement between keyframes, controlling the speed and easing of animations.
3
When creating a bouncing ball animation, set keyframes at the lowest points of the bounce and use the graph editor to create arcs between these points, adjusting handles to control the bounciness and movement.