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

Question

asked Dec 10, 2018 13.7k views

2 Answers

Acroyear · Answer 1 · 2018-12-17T08:55:23+0000

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
$\leq$ sinx
$\leq$ 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
$\geq$ -3sinx
$\geq$ 3 (B)

now subtract from 4 from each side of (B) we will get

-7
$\geq$ -3sinx-4
$\geq$ -1

Hence, required range of the given function y= -3sinx-4 is [-7,-1].