1. Let's analyze the problem: We have a smooth continuous function graphed on the xy-plane from $x=-1$ to $x=8$ and $y=-1$ to $y=8$. 2. The curve's behavior is described as starting near $y=8$ at $x=-1$, dipping sharply below $y=0$ near $x=1$, rising to a peak around $x=3$, dropping sharply below $y=0$ near $x=5$, and then rising again towards $y=8$ by $x=8$. 3. From this description, the function has two valleys (local minima) and one peak (local maximum). 4. Such a function could be modeled by a polynomial with at least degree 4 to have two minima and one maximum. 5. For example, a quartic polynomial with appropriate coefficients could recreate this behavior. 6. Without an explicit equation, we summarize that the function is likely a quartic polynomial exhibiting two valleys and one peak within the domain. Final conclusion: The graph describes a continuous smooth function with two local minima and one local maximum between $x=-1$ and $x=8$.