Chapter 4.6, Problem 60E

Solution

To graph : The function $f\left(x\right)=x+\sin 2x$ over the interval $\left[-4\pi ,4\pi \right]$ and state its period if it is periodic.

Given information :

The function $f\left(x\right)=x+\sin 2x$

Graph :

Consider the given function $f\left(x\right)=x+\sin 2x$ .

Graph the given function in the viewing window $\left[-4\pi ,4\pi \right]$ by $\left[-10,10\right]$ .

  

From the graph it is evident that the function is non-periodic in nature.

Interpretation :

The function is non-periodic in nature.