13.41Extensions are color, not function
This is one of the most important ideas in this module.
Compare:
G7
G9
G13
G7♭9
All may have the same basic function:
dominant of C.
Their colors differ.
So first think:
function = V7
then:
color = 9 / 13 / ♭9 / etc.
Do not let the long chord symbol obscure the simple harmonic job.