Заполните таблицу значений функции \(\displaystyle y=3x-1{\small :}\)
| \(\displaystyle x\) | \(\displaystyle -4\) | \(\displaystyle -3\) | \(\displaystyle -2\) | \(\displaystyle -1\) | \(\displaystyle 0\) | \(\displaystyle 1\) | \(\displaystyle 2\) | \(\displaystyle 3\) | \(\displaystyle 4\) |
| \(\displaystyle y=3x-1\) |
По полученным точкам постройте график функции \(\displaystyle y=3x-1{\small ,}\) перетаскивая красные точки мышкой.
!!! График функции появится на экране, если правильно вычислены все значения функции и верно расставлены красные точки.
!!! В любой непонятной ситуации можно нажать кнопку "вид по умолчанию" и начать перемещать точки заново.
Внесите \(\displaystyle \color{green}{Код}\) с построенного графика в поле ниже.
\(\displaystyle \color{green}{Код=}\)
Заполним таблицу значений функции \(\displaystyle y=3x-1{\small :}\)
| \(\displaystyle x\) | \(\displaystyle -4\) | \(\displaystyle -3\) | \(\displaystyle -2\) | \(\displaystyle -1\) | \(\displaystyle 0\) |
| \(\displaystyle y=3x-1\) | \(\displaystyle 3\cdot (-4)-1\) | \(\displaystyle 3\cdot (-3)-1\) | \(\displaystyle 3\cdot (-2)-1\) | \(\displaystyle 3\cdot (-1)-1\) | \(\displaystyle 3\cdot 0-1\) |
| \(\displaystyle x\) | \(\displaystyle 1\) | \(\displaystyle 2\) | \(\displaystyle 3\) | \(\displaystyle 4\) | \(\displaystyle —\) |
| \(\displaystyle y=3x-1\) | \(\displaystyle 3\cdot 1-1\) | \(\displaystyle 3\cdot 2-1\) | \(\displaystyle 3\cdot 3-1\) | \(\displaystyle 3\cdot 4-1\) | \(\displaystyle —\) |
Вычисляем значения:
| \(\displaystyle x\) | \(\displaystyle -4\) | \(\displaystyle -3\) | \(\displaystyle -2\) | \(\displaystyle -1\) | \(\displaystyle 0\) | \(\displaystyle 1\) | \(\displaystyle 2\) | \(\displaystyle 3\) | \(\displaystyle 4\) |
| \(\displaystyle y=3x-1\) | \(\displaystyle -13\) | \(\displaystyle -10\) | \(\displaystyle -7\) | \(\displaystyle -4\) | \(\displaystyle -1\) | \(\displaystyle 2\) | \(\displaystyle 5\) | \(\displaystyle 8\) | \(\displaystyle 11\) |
Расположим красные точки в соответствии с полученными значениями.
На экране появится прямая \(\displaystyle \color{blue}{y=3x-1}{\small,}\) и \(\displaystyle \color{green}{Код}\) станет равным \(\displaystyle \color{green}{826}{\small .}\)
Ответ:
| \(\displaystyle x\) | \(\displaystyle -4\) | \(\displaystyle -3\) | \(\displaystyle -2\) | \(\displaystyle -1\) | \(\displaystyle 0\) | \(\displaystyle 1\) | \(\displaystyle 2\) | \(\displaystyle 3\) | \(\displaystyle 4\) |
| \(\displaystyle y=3x-1\) | \(\displaystyle -13\) | \(\displaystyle -10\) | \(\displaystyle -7\) | \(\displaystyle -4\) | \(\displaystyle -1\) | \(\displaystyle 2\) | \(\displaystyle 5\) | \(\displaystyle 8\) | \(\displaystyle 11\) |
\(\displaystyle Код=826{\small .}\)