Question

Which of the following is true for f(x) = –2sin(x) – 3?

A. The range of the function is the set of real numbers -2 B. The graph of the function is the graph of f(x)=-2sin(x) shifted 3 units up
C. The amplitude of the function is 2
D. The period of the function is 4pi

Answer 1

It is C on edge

Explanation:

Answer 2

Answer: Option C is correct!

Explanation:

The range of function is [-1,-5] . so first option is incorrect.

Since graph of the function f(x)=-2sin(x) is shifted down by 3 because of -3

therefore option B is incorrect.

Period of the given function is 2pi because here b =1 and period of sinx function is given by
`(2\pi )/(b)` therefore option D is also incorrect

Period of the function f(x) is always absolute value number in front of sinx which is given to be 2 here therefore option C is correct.!