E(y)=? у=5|sinx|-2

Question

E(y)=?

у=5|sinx|-2

Answer 1

-1<=sin x<=1                        |  |*|</p>

 

0<=|sin x|<=1                     | *5</p>

 

0<=5|sin x|<=5                  | -2</p>

 

-2<=5|sin x|-2<=3              </p>

 

E(y)=[-2;5]