Question

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

Answer 1

Minimum value of sin x is -1.
For sin =-1, y =-3*(-1)-4=-1


Maximum value of sin x is 1.
For sin =1, y =-3*(1)-4=-7

So range of this function = [-7,-1], or it can be written as -7≤x≤-1

Answer 2

Explanation:

Given is a function

`y=-3sinx-4`

We know that sinx lies between -1 and 1 for any value of x

Keep that in mind and substitute maximum 1 to get

y =-3(1)-4 =-7

SUbstitute min -1 to get

y=-3(-1)-4 = -1

Thus range lies between -7 and -1

Range of the given function

= [-7,-1]

Closed interval including end points.