latch onto
To obtain, acquire or get and keep hold of something.
They latched onto the idea and gave it up only reluctantly.
prep
Arriving upon or on top of (speaking of a physical or metaphorical movement).
My cat just jumped onto the keyboard.
A new drug has just come onto the market.
Aware of.
The thought-police were onto my plans of world domination.
Being an onto function with a codomain of (see below).
The exponential function maps the set of real numbers onto the set of positive real numbers.
adj
Attaining each of the values in its codomain; having its image equal to its codomain.
Considered as a function on the real numbers, the exponential function is not onto, as it never takes on values less than or equal to zero.