Use the indicated x-values on the graph of to find all the intervals where .
B) and
E) and

Question

Use the indicated x-values on the graph of  to find all the intervals where  .  ​
B) and 
E) and

Quizplus · Accepted Answer

To find the intervals where the function is increasing, we need to look for intervals where the derivative of the function is positive (i.e., where the tangent line has a positive slope). From the graph, we can see that the function has a horizontal tangent at x=1 and x=3, and a vertical tangent at x=2. At x=0 and x=4, the function has positive slope. Therefore, the function is increasing on the intervals (0,1), (2,3), and (3,4), which corresponds to the answer choice B.

Use the Indicated X-Values on the Graph of to Find