Respuesta :
Range of a function is the extent to which any function may be varied. The range of the given function y= -3sin(x)-4 is [-7,-1].
What is a Range?
The range of a function is the extent to which any function may be varied.
We know that the general range of the function of sin(x) is between [-1,1].
-1 ≤ sin(x) ≤ 1. . . . . . . . . .(A)
As our required function is y = -3sin(x) - 4
Now, in order to get this function, we will multiply each side in Equation (A) by -3, therefore,
-3 ≤ -3 sin(x) ≤ 3
Further, subtract from 4 from each side of the equation.
-7 ≥ -3sin(x)-4 ≥ -1
Hence, the range of the given function y= -3sin(x)-4 is [-7,-1].
Learn more about Range:
https://brainly.com/question/8041076
Answer: b
Step-by-step explanation:all real numbers (b)