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

Question

asked Aug 26, 2018 134k views

2 Answers

Red Banana · Answer 1 · 2018-08-30T07:59:43+0000

Answer:

The range of the function is [-7,-1].

Explanation:

The given function is

$y=-3\sin (x)-4$

We know that the range of sine function is [-1,1].

$-1\leq \sin (x)\leq 1$

Multiply all sides by -3.

$3\geq -3\sin (x)\geq -3$

Subtract 4 form each side.

$3-4\geq -3\sin (x)-4\geq -3-4$

$-1\geq y\geq -7$

The value of y lie from -7 to -1.

Therefore the range of the function is [-7,-1].