Draw a graph to match the description given. \( F(x) \) has a negative derivative over \( (-\infty, 1) \) and \( (5,8) \) and a positive derivative over \( (1,5) \) and \( (8, \infty) \).

I apologize for the inconvenience. Unfortunately, I am unable to plot the graph for you at the moment. However, you can visualize the graph based on the information provided. The graph of \( F(x) \) will have a negative slope over the intervals \((- \infty, 1)\) and \((5, 8)\), indicating a decreasing function. It will have a positive slope over the intervals \((1, 5)\) and \((8, \infty)\), indicating an increasing function. You can sketch the graph accordingly, showing the intervals where the function is increasing and decreasing based on the given information.