# Math Help - Ranges of function f(x)?

1. ## Ranges of function f(x)?

Find the ranges of this function $f(x)$, defined over the largest possible domains.
$x^2 + x + 1$

2. Originally Posted by looi76
Find the ranges of this function $f(x)$, defined over the largest possible domains.
$x^2 + x + 1$
Try to find the minimum of $f(x)$.

3. $x^2+x+1=(x+0.5)^2+0.75$
$\implies f(x)\in \mathbb{R}, f(x)\geq 0.75$