Find the ranges of this function $\displaystyle f(x)$, defined over the largest possible domains. $\displaystyle x^2 + x + 1$
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Originally Posted by looi76 Find the ranges of this function $\displaystyle f(x)$, defined over the largest possible domains. $\displaystyle x^2 + x + 1$ Try to find the minimum of $\displaystyle f(x) $.
$\displaystyle x^2+x+1=(x+0.5)^2+0.75$ $\displaystyle \implies f(x)\in \mathbb{R}, f(x)\geq 0.75$
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