is
the set of values of
that
can be put into the function to calculate a value of
and
the range of the function is the set of values
that
the function can take. The domains and ranges of some common
functions are given below.
A Level Maths Notes: C3 – Examples of Domains and Ranges
The domain of a functionis
the set of values ofthat
can be put into the function to calculate a value ofand
the range of the function is the set of valuesthat
the function can take. The domains and ranges of some common
functions are given below.
|
|
Domain |
Range |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
These examples can be used to construct more functions and find their domains and ranges.
|
|
Domain |
Range |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
In addition, the domain of the inverse
function is the range of the inverse function and the range of the
inverse function is the range of the function,
and
are
inverse functions. The domain and range ofare
and
These
are swapped for the inverse function
so
the domain and range are
and
or
or
