What is the range of y = –3sin(x) – 4?
Answer:
The required range of the function \(y=-3\sin (x)-4\) is [-7,-1]
Step-by-step explanation:
Given : Function \(y=-3\sin (x)-4\)
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]
\(-1\leq \sin x\leq 1\) .....(1)
The required function is \(y=-3\sin (x)-4\)
Multiply equation (1) by -3
\(-3\leq -3\sin x\leq 3\) .....(2)
Now, we subtract equation (2) by 4
\(-3-4\leq -3\sin x-4\leq 3-4\)
\(-7\leq -3\sin x-4\leq -1\)
Therefore, The required range of the function \(y=-3\sin (x)-4\) is [-7,-1].