The graph appears to represent a quadratic function, with a vertex at a minimum point.

To determine the domain and range:

• Domain: The domain refers to the set of all possible x-values. Since the graph is continuous and extends indefinitely to the left and right, the domain is all real numbers, represented as:
  $\text{Domain}: (-\infty, \infty)$.

• Range: The range is the set of all possible y-values. From the graph, the lowest point is at $y = 1$, and it increases as you move away from the vertex in both directions. Therefore, the range is $y \geq 1$.
  $\text{Range}: [1, \infty)$.

Would you like further details on how to determine these values, or have any specific questions about the function?

Here are 5 related questions to explore:

1. What is the vertex form of a quadratic function?
2. How can you identify the domain and range of different types of graphs?
3. How do transformations affect the domain and range of quadratic functions?
4. How do you calculate the vertex of a parabola from a quadratic equation?
5. What is the significance of the direction the parabola opens (upward or downward)?

Tip: For quadratic functions, the vertex is key to understanding the range, as it represents the minimum or maximum point, depending on whether the parabola opens upwards or downwards.