The function f (x) is de ned, on the interval -π <= x < π

[ASIWYFA]

Hi, I have been asked the following question but I am having trouble with it. Any help would be appreciated.


The function f (x) is de nfied, on the interval -π <= x < π, as f (x) = -2x
and elsewhere by f(x) = f(x + 2π). Carefully sketch the function
on the interval [-4π; 4π].

Thanks!

 

[Mark44]

Start by sketching the graph on the interval [-pi, pi).

For pi <= x <= 4pi, use the information that f(x + 2pi) = f(x). Do the same for the interval -4pi <= x < -pi.