Question

What is the range of y = –3sin(x) – 4?

Answer 1

The required range of the function
`y=-3\sin (x)-4` is [-7,-1]

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].