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

Question

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## Answers ( 2 )

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.

Minimumvalue 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 -7u2264xu2264-1