How do you find the domain and range of #f(x)=x^2+8x+6#?

1 Answer
Aritra G.
Sep 2, 2017

The domain is the set if that values of #x# for which the function #f(x)# is defined.

On the other hand, the range is the set into which the function #f# maps the domain to.

Unless otherwise specified, we consider these to be real valued function and therefore, the range is #R#, the set of real numbers.

Also, one readily observes the function is defined for all real values of #x#. Also, for any real value of #x#,
the value of #f# is real and hence, the domain is the set of reals #R#.

The function #f# maps #R# into #R# by a specific rule specified by the functional form,

#f(x) = x^2 + 8x + 6#

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