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

Sep 2, 2017

The domain is the set if that values of $x$ for which the function $f \left(x\right)$ 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,

$f \left(x\right) = {x}^{2} + 8 x + 6$