Ответ:
Для заполнения таблицы, нам нужно вычислить значение (y) для каждого заданного значения (x), используя формулу (y = x(x - 1)).
Давайте сделаем это пошагово:
1. (x = -3):
(y = -3(-3 - 1) = -3(-4) = 12)
2. (x = -2):
(y = -2(-2 - 1) = -2(-3) = 6)
3. (x = -1):
(y = -1(-1 - 1) = -1(-2) = 2)
4. (x = 0):
(y = 0(0 - 1) = 0(-1) = 0)
5. (x = 1):
(y = 1(1 - 1) = 1(0) = 0)
6. (x = 2):
(y = 2(2 - 1) = 2(1) = 2)
7. (x = 3):
(y = 3(3 - 1) = 3(2) = 6)
Заполненная таблица:
| x | -3 | -2 | -1 | 0 | 1 | 2 | 3 |
| --- | --- | --- | --- | --- | --- | --- | --- |
| y | 12 | 6 | 2 | 0 | 0 | 2 | 6 |
Давайте сделаем это пошагово:
1. (x = -3):
(y = -3(-3 - 1) = -3(-4) = 12)
2. (x = -2):
(y = -2(-2 - 1) = -2(-3) = 6)
3. (x = -1):
(y = -1(-1 - 1) = -1(-2) = 2)
4. (x = 0):
(y = 0(0 - 1) = 0(-1) = 0)
5. (x = 1):
(y = 1(1 - 1) = 1(0) = 0)
6. (x = 2):
(y = 2(2 - 1) = 2(1) = 2)
7. (x = 3):
(y = 3(3 - 1) = 3(2) = 6)
Заполненная таблица:
| x | -3 | -2 | -1 | 0 | 1 | 2 | 3 |
| --- | --- | --- | --- | --- | --- | --- | --- |
| y | 12 | 6 | 2 | 0 | 0 | 2 | 6 |
