\[\boxed{\text{353\ (353).\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[1)\ f(x) = - x^{2} + 6x - 7\]
\[x_{0} = \frac{- 6}{- 2} = 3\]
\[y_{0} = - 9 + 18 - 7 = 2\]
\[Oy:\]
\[x = 0;\ \ y = - 7.\]
\[f(1) = - 1 + 6 - 7 = - 2.\]
\[q(x) = - \sqrt{x}\]
\[x\] | \[1\] | \[4\] | \[9\] |
---|---|---|---|
\[y\] | \[- 1\] | \[- 2\] | \[- 3\] |
\[Ответ:два\ корня.\]
\[2)\ f(x) = 4x - 2x^{2}\]
\[x_{0} = \frac{- 4}{- 4} = 1;\]
\[y_{0} = 4 - 2 = 2.\]
\[\text{Ox}:\]
\[2x(2 - x) = 0\]
\[x = 0,\ \ (0;0)\]
\[x = 2,\ \ (2;0)\text{.\ }\]
\[\text{Oy}:\ \ \ \]
\[\ y = 0;(0;0).\]
\[f( - 1) = - 4 - 2 = - 6.\]
\[q(x) = - \frac{4}{x}\]
\[x\] | \[1\] | \[2\] | \[4\] | \[- 1\] | \[- 2\] | \[- 4\] |
---|---|---|---|---|---|---|
\[y\] | \[- 4\] | \[- 2\] | \[- 1\] | \[4\] | \[2\] | \[1\] |
\[Ответ:1\ корень.\]