Найдите значения линейной функции \(\displaystyle y=-x+\frac{5}{6}{\small :}\)
| \(\displaystyle x\) | \(\displaystyle -1\frac{1}{3}\) | \(\displaystyle 0\) | \(\displaystyle 1\) | \(\displaystyle 5\) |
| \(\displaystyle y\) |
Вычислим значения линейной функции
\(\displaystyle y=-x+\frac{5}{6}{\small .}\)
При \(\displaystyle x=\color{green}{-1\frac{ 1}{ 3}}=\color{green}{ -\frac{ 4}{ 3}}\) получаем
\(\displaystyle y= -\left(\color{green}{-\frac{ 4}{ 3}}\right)+\frac{5}{6}{\small .}\)
Поэтому значение функции равно \(\displaystyle -\left(\color{green}{-\frac{ 4}{ 3}}\right)+\frac{5}{6}=\frac{ 4}{ 3}+\frac{5}{6}={\bf \frac{ 13}{ 6}}{\small .}\)
При \(\displaystyle x=\color{green}{0}\) получаем
\(\displaystyle y= -\color{green}{0}+\frac{5}{6}{\small .}\)
Поэтому значение функции равно \(\displaystyle -\color{green}{0}+\frac{5}{6}={\bf \frac{5}{6}}{\small .}\)
При \(\displaystyle x=\color{green}{1}\) получаем
\(\displaystyle y= -\color{green}{1}+\frac{5}{6}{\small .}\)
Поэтому значение функции равно \(\displaystyle -\color{green}{1}+\frac{5}{6}={\bf -\frac{ 1}{ 6}}{\small .}\)
При \(\displaystyle x=\color{green}{5}\) получаем
\(\displaystyle y= -\color{green}{5}+\frac{5}{6}{\small .}\)
Поэтому значение функции равно \(\displaystyle -\color{green}{5}+\frac{5}{6}={\bf -\frac{25}{6}}{\small .}\)
Таким образом,
| \(\displaystyle x\) | \(\displaystyle -1\frac{1}{3}\) | \(\displaystyle 0\) | \(\displaystyle 1\) | \(\displaystyle 5\) |
| \(\displaystyle -x+\frac{5}{6}\) | \(\displaystyle {\bf \frac{ 13}{ 6}}\) | \(\displaystyle {\bf \frac{5}{6}}\) | \(\displaystyle {\bf -\frac{1}{6}}\) | \(\displaystyle {\bf -\frac{25}{6}}\) |