Чтобы заполнить таблицу, нужно подставить значения x в формулу \(y = 3x + 2\) и вычислить значения y.
| x | -6 | -4 | -2 | -1 | 0 | 1 | 4 | 5 | 6 |
| --- | --- | --- | --- | --- | -- | -- | -- | -- | -- |
| y | | | | | 2 | | | | |
Подставим значения:
* \(x = -6\): \(y = 3(-6) + 2 = -18 + 2 = -16\)
* \(x = -4\): \(y = 3(-4) + 2 = -12 + 2 = -10\)
* \(x = -2\): \(y = 3(-2) + 2 = -6 + 2 = -4\)
* \(x = -1\): \(y = 3(-1) + 2 = -3 + 2 = -1\)
* \(x = 0\): \(y = 3(0) + 2 = 0 + 2 = 2\) (уже дано)
* \(x = 1\): \(y = 3(1) + 2 = 3 + 2 = 5\)
* \(x = 4\): \(y = 3(4) + 2 = 12 + 2 = 14\)
* \(x = 5\): \(y = 3(5) + 2 = 15 + 2 = 17\)
* \(x = 6\): \(y = 3(6) + 2 = 18 + 2 = 20\)
Заполненная таблица:
| x | -6 | -4 | -2 | -1 | 0 | 1 | 4 | 5 | 6 |
| --- | --- | --- | --- | --- | -- | -- | -- | -- | -- |
| y | -16 | -10 | -4 | -1 | 2 | 5 | 14 | 17 | 20 |