\[\boxed{\text{25\ (25).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[\textbf{а)}\ y = x^{3} - 8x\]
\[- 3 \leq x \leq 3\]
\[x\] | \[- 3\] | \[- 2\] | \[- 1,5\] | \[- 1\] | \[0\] | \[1\] | \[1,5\] | \[2\] | \[3\] |
---|---|---|---|---|---|---|---|---|---|
\[y\] | \[- 3\] | \[8\] | \[8,625\] | \[7\] | \[0\] | \[- 7\] | \[- 8,625\] | \[- 8\] | \[3\] |
\[E(y) = \lbrack - 8,625;8,625\rbrack.\]
\[\textbf{б)}\ y = \frac{4}{x + 2}\ \]
\[- 1,5 \leq x \leq 6\]
\[x\] | \[- 1,5\] | \[- 1\] | \[0\] | \[2\] | \[6\] |
---|---|---|---|---|---|
\[y\] | \[8\] | \[4\] | \[2\] | \[1\] | \[0,5\] |
\[E(y) = \lbrack 0,5;8\rbrack.\]
\[\boxed{\text{25.\ }\text{ОК\ ГДЗ\ -\ домашка\ на\ 5}}\]
\[\textbf{а)}\ 0,017 < 0,099\]
\[\textbf{б)} - 4,9 < - 4,25\]
\[\textbf{в)} - 8,48 > - 8,84\]
\[\textbf{г)}\ \frac{11}{16} = \frac{6875}{10000} = 0,6875\]
\[\textbf{д)} - 2,882 < - 2\frac{13}{20} =\]
\[= - 2\frac{65}{100} = - 2,65\]
\[\textbf{е)}\ \frac{12}{13} = \frac{12 \cdot 14}{13 \cdot 14} =\]
\[= \frac{168}{13 \cdot 14} < \frac{13}{14} = \frac{13 \cdot 13}{14 \cdot 13} =\]
\[= \frac{169}{13 \cdot 14}\ \]
\[\textbf{ж)} - 6,006 < 6,066\]
\[\textbf{з)} - 34\frac{3}{4} = - 34,75\]
\[\textbf{и)}\ 0,653 > \frac{13}{20} = 0,65\]
\[к)\ \frac{3}{7} \approx 0,42857 < 0,43\]