Respuesta :
Answer:
The required range of the function [tex]y=-3\sin (x)-4[/tex] is [-7,-1]
Step-by-step explanation:
Given : Function [tex]y=-3\sin (x)-4[/tex]
To find : What is the range of the given function?
Solution :
The range is defined as the variation in which any function is defined.
We know that the sin function lies between [-1,1]
[tex]-1\leq \sin x\leq 1[/tex] .....(1)
The required function is [tex]y=-3\sin (x)-4[/tex]
Multiply equation (1) by -3
[tex]-3\leq -3\sin x\leq 3[/tex] .....(2)
Now, we subtract equation (2) by 4
[tex]-3-4\leq -3\sin x-4\leq 3-4[/tex]
[tex]-7\leq -3\sin x-4\leq -1[/tex]
Therefore, The required range of the function [tex]y=-3\sin (x)-4[/tex] is [-7,-1].
