To take upon oneself; to start, to embark on (a specific task etc.).
To commit oneself (to an obligation, activity etc.).
He undertook to exercise more in future.
To overtake on the wrong side.
I hate people who try and undertake on the motorway.
To pledge; to assert, assure; to dare say.
To take by trickery; to trap, to seize upon.
To assume, as a character; to take on.
To engage with; to attack, take on in a fight.
To have knowledge of; to hear.
To have or take charge of.