Для решения этой задачи нам нужно вычислить значение функции \(y = -2x^2\) для каждого заданного значения \(x\).
1. \(x = -1\):
\(y = -2(-1)^2 = -2(1) = -2\)
2. \(x = -0.8\):
\(y = -2(-0.8)^2 = -2(0.64) = -1.28\)
3. \(x = -0.6\):
\(y = -2(-0.6)^2 = -2(0.36) = -0.72\)
4. \(x = -0.4\):
\(y = -2(-0.4)^2 = -2(0.16) = -0.32\)
5. \(x = -0.2\):
\(y = -2(-0.2)^2 = -2(0.04) = -0.08\)
6. \(x = 0\):
\(y = -2(0)^2 = -2(0) = 0\)
7. \(x = 0.2\):
\(y = -2(0.2)^2 = -2(0.04) = -0.08\)
8. \(x = 0.4\):
\(y = -2(0.4)^2 = -2(0.16) = -0.32\)
9. \(x = 0.6\):
\(y = -2(0.6)^2 = -2(0.36) = -0.72\)
10. \(x = 0.8\):
\(y = -2(0.8)^2 = -2(0.64) = -1.28\)
11. \(x = 1\):
\(y = -2(1)^2 = -2(1) = -2\)
Заполненная таблица:
| x | -1 | -0.8 | -0.6 | -0.4 | -0.2 | 0 | 0.2 | 0.4 | 0.6 | 0.8 | 1 |
|------|------|-------|-------|-------|-------|-----|-------|-------|-------|-------|------|
| y | -2 | -1.28 | -0.72 | -0.32 | -0.08 | 0 | -0.08 | -0.32 | -0.72 | -1.28 | -2 |