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I'm having trouble to find a way to set the interpolation before a keyframe. For example, this is useful if you want to animation to continue before the first frame and after the last frame to get correct motion blur.

I haven't found a way in the UI either, as setting the interpolation to linear is not acting the way I want.

Is there a way to do this?

Attaced is an example from Nuke where the interpolation is set to linear before the keyframe (which makes the animation continue). enter image description here

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Just to follow up with the help from @batFINGER:

import bpy

o = bpy.context.selected_objects[0]

for fc in o.animation_data.action.fcurves:
    fc.extrapolation = 'LINEAR'
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