Choose the function that would correspond to this graph of F'.

Question

Quizplus · Accepted Answer

The function F' is the derivative of F, so wherever F is increasing, F' is positive, and wherever F is decreasing, F' is negative. Looking at the graph, we can see that F is increasing from x = -3 to x = 0, and then decreasing from x = 0 to x = 3. Therefore, F' is positive from x = -3 to x = 0, and negative from x = 0 to x = 3. The only function that has this behavior is option C.

Choose the Function That Would Correspond to This Graph of F