1. **Problem Statement:** Sketch a graph where the number of customers at a restaurant depends on the time of day. Time is on the x-axis and number of customers on the y-axis. 2. **Understanding the Problem:** The number of customers typically rises during peak hours and falls during off-peak hours, so the graph should show a curve that rises and then falls. 3. **Graph Description:** The function is not explicitly given, but we can describe it qualitatively as a curve that increases to a peak and then decreases. 4. **Key Points:** - At early times (morning), customers are few. - During lunch and dinner times, customers increase. - After peak hours, customers decrease. 5. **Mathematical Representation (Example):** A simple model could be a bell-shaped curve such as a Gaussian or a quadratic function like $$y = -a(x - h)^2 + k$$ where $a > 0$, $h$ is the time of peak customers, and $k$ is the maximum number of customers. 6. **Explanation:** This parabola opens downward, showing an increase to a maximum and then a decrease. 7. **Final Answer:** The graph is a curve rising and falling over time, representing customer count.