What are functions?
relations
Between what?
inputs and outputs
What are different types of function in today's mathematics?
the central objects of investigation
What sort of image could you use to describe them?
a graph
How could a function's representation be implied?
as the inverse to another function
Any other way?
yes
What way is that?
a solution of a differential equation
How could a function be directly defined?
by a table
Can each input give many outputs?
no
Can an output give many inputs?
yes