Respuesta :
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
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:
Step-by-step explanation:
Given is a function
[tex]y=-3sinx-4[/tex]
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.
