Answer:
Overall, the steps for algebraically finding the range of a function are:
Write down
y
=
f
(
x
)
and then solve the equation for
x
, giving something of the form
x
=
g
(
y
)
.
Find the domain of
g
(
y
)
, and this will be the range of
f
(
x
)
. Note: if there are certain
x
-values that cannot be in the domain, their associated
y
-value cannot be in the range!
If you can't seem to solve for
x
, then try graphing the function to find the range.
