1. у=(х-4.5)²-20.25, область значений у∈[-20.25;+∞)
2. (х-3.5)²+12-12.25; у∈[-0.25;+∞)
3.у∈[2;+∞)
4. у∈(-∞;10]
5. [4;+∞)
![1)\ \ y=x^2-9x\\\\x_{vershinu}=-\dfrac{b}{2a}=-\dfrac{-9}{2}=4,5\ \ ,\ \ y_{versh.}=4,5^2-9\cdot 4,5=-20,25\\\\y\in [-20,25\, ;\, +\infty )\\\\\\2)\ \ y=x^2-7x+12\ \ ,\ \ x_{versh.}=3,5\ \ ,\ \ y_{versh.}=-0,25\\\\y\in [-0,25\, ;\, +\infty )\\\\\\3)\ \ y=2+\sqrt{x}\\\\\sqrt{x}\geq 0\ \ \to \ \ \ \sqrt{x}+2\geq 2\ \ \ ,\ \ \ y\in [\ 2\, ;+\infty \, )\\\\\\4)\ \ y=-\sqrt{x}+10\\\\\sqrt{x}\geq 0\ \ ,\ \ -\sqrt{x}\leq 0\ \ \to \ \ 10-\sqrt{x}\leq 10\ \ ,\ \ y\in (-\infty \, ;\, 10\ ]](/tpl/images/1369/3963/bd8e5.png)
