Question

Найдите множество значений функции y=2+3[cosx],,,,,,,,,,,,cosx по модулю

Answer 1

$-1 \leq cos(x) \leq 1\\\\ 0 \leq |cos(x)| \leq 1\\\\ 3*0 \leq 3*|cos(x)| \leq 3*1\\\\ 0 \leq 3*|cos(x)| \leq 3\\\\ 2+0 \leq 2+3*|cos(x)| \leq 2+3\\\\ 2 \leq 2+3*|cos(x)| \leq 5\\\\ 2 \leq y(x) \leq 5\\\\ y\in [2;\ 5]$