Answer: [-7,-1]
Explanation:
range of a function is that limit in which variation of any function is possible.
general range of sinx is between [-1,1]
-1[tex]\leq[/tex]sinx[tex]\leq[/tex]1 (A)
our required function is y= -3sinx - 4
So, as to obtain this function we will multiply the each side in Equation (A) by -3 we will get
-3[tex]\geq[/tex]-3sinx[tex]\geq[/tex]3 (B)
now subtract from 4 from each side of (B) we will get
-7[tex]\geq[/tex]-3sinx-4[tex]\geq[/tex]-1
Hence, required range of the given function y= -3sinx-4 is [-7,-1].
