Question

$y = 2 + \frac{10}{\pi} arcsin(4x - 1)$
​Найдите множество значений функции

Answer 1

$-\frac{\pi}{2}\leq \arcsin{(4x-1)}\leq \frac{\pi}{2}|*\frac{10}{\pi}\\-5\leq \frac{10}{\pi}\arcsin{(4x-1)}\leq 5|+2\\-3\leq y\leq 7$

Ответ: [-3; 7]