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The domain is (
,
).
Since the value of x is squared, f(x) will always be equal or greater than 0.
The range is [
,
).
The bracket, [, means includes 0 in this definition.
There are several restrictions on the domain.
The function is not defined when the denominator equals zero.
Therefore x cannot equal 1 or -1.
The square root also requires a positive value.
and
Since the output of the square root function is also always positive,
the range is also positive.
As x grows large, either negative or positive, f(x) goes to zero.
The range is (
,
).
