Question

For the function given by the graph, which among the following option(s) is/are true

• A. Range of the function is $[-3,1]$
• B. Period of the function is $2\pi$
• C. Period of the function is $4\pi$
• D. Range of the function is $[-1,1]$

Answer 1

Answer: (A), (B), (C)

The correct options are
A Range of the function is $[-3,1]$
B Period of the function is $2\pi$
C Period of the function is $4\pi$

From the graph, it can be observed that maximum value is $1$ and minimum value is $-3$
So, Range will be $[-3,1]$
As the values of the function are repeating after every interval of $2\pi$,so period is $2\pi .$

Since, $4\pi$ be a multiple of $2\pi ,$ so $4\pi$ can also be the period of the given function.