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

Question

asked Jul 10, 2018 55.2k views

1 Answer

Pioneer · Answer 1 · 2018-07-17T09:42:15+0000

Answer:

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].