The graph shown represents a parabola, and we are asked to determine the range of the function.

The range of a function represents all the possible output values (y-values).

Analyzing the Graph:

• The parabola opens upwards, meaning its minimum value occurs at the vertex.
• The vertex of this parabola is at the point $(0, -3)$.
• Since the parabola opens upwards, the y-values start from $-3$ and increase to infinity.

Thus, the range includes all values greater than or equal to -3.

Conclusion:

The correct option is "all real numbers greater than or equal to -3".

Would you like further details or clarifications on this? Here are some related questions:

1. How do you find the vertex of a parabola from its equation?
2. What determines whether a parabola opens upwards or downwards?
3. How do you find the domain of a quadratic function?
4. Can the range of a parabola ever be all real numbers?
5. What is the significance of the axis of symmetry in a parabola?

Tip: For quadratic functions, the direction of the parabola (upward or downward) is determined by the sign of the coefficient of $x^2$.