Chapter 8.1, Problem 1QR

To determine

To find all values of $x$ at which the function changes sign on the given interval and sketch a number line graph of the interval.

Answer to Problem 1QR

The function $\sin 2x$ changes sign at $x=-1.57,0\text{ and }1.57$

Explanation of Solution

Given information:

The function is $\sin 2x$ and the interval given is $\left[-3,2\right]$

Calculation:

Below shown a number line

  

Therefore, from above number line it is clear that the function $\sin 2x$ changes sign at $x=-1.57,0\text{ and }1.57$ .