Question

Найдите область значений функции: 3-2^sin^3(x)

Answer 1

sin(x) [-1;1]

sin(x)^3 [-1;1]

2^sin(x)^3 [0,5;2]

 3-2^sin^3(x) [1;2,5]

Answer 2

-1<sinx<1

-1<sin^3x<1        |*(-2)

-2<-2sin^3x<2     |(+3)

1<3-2sin^3x<5