Question

Suppose that the graph below is the graph of f'(x). Select the correct choice below and fill in any derivative of f(x). Find the open intervals where the original answer boxes.

Answer 1

To find the open intervals where the original answer boxes are, examine the graph of f'(x) and identify where the derivative is positive or negative.

Step-by-step explanation:

To find the open intervals where the original answer boxes are, you need to examine the given graph of f'(x). The open intervals can be determined by identifying where the derivative is positive or negative. When the derivative is positive, it means the original function is increasing, and when the derivative is negative, it means the original function is decreasing.

First, identify the sections of the graph where f'(x) is positive. On the graph, these will be the regions above the x-axis. Mark these intervals on the number line. The open intervals will be the regions excluding the endpoints of the solid intervals.

Next, identify the sections of the graph where f'(x) is negative. On the graph, these will be the regions below the x-axis. Mark these intervals on the number line. Again, the open intervals will be the regions excluding the endpoints of the solid intervals.