Question

Найдите область значений функции y=1+3sin(x+1)

Answer 1

y = 1 + 3Sin(x + 1)

- 1 ≤ Sin(x + 1) ≤ 1

- 1 * 3 ≤ 3Sin(x + 1) ≤ 1 * 3

- 3 ≤ 3Sin(x + 1) ≤ 3

- 3 + 1 ≤ 1 + 3Sin(x + 4) ≤ 1 + 3

- 2 ≤ 1 + 3Sin(x + 1) ≤ 4

Ответ : область значений  [- 2 ; 4]