To determine the range of the function shown in the graph:

1. Range of a function refers to all possible values of $y$ (vertical axis) that the function can take.
2. The graph shows a curve that begins at a point on the $y$-axis where $y = 2$, and as $x$ increases, the curve moves upward, so $y$ increases.
3. The lowest point on the curve occurs at $y = 2$, and the function appears to increase without bound as $x$ moves to the right.

Thus, the range of the function consists of all real numbers greater than or equal to 2.

Correct Answer:

• All real numbers greater than or equal to 2

Would you like more details or have any questions?

Here are some additional questions to deepen understanding:

1. What is the domain of this function based on the graph?
2. How would you express this function's behavior as $x$ approaches infinity?
3. Could this graph represent a logarithmic function? Why or why not?
4. How would you describe the function's end behavior?
5. What is the significance of the minimum value in a function's range?

Tip: Always start by identifying key points on the graph (like minimum and maximum points) to understand the range and behavior of a function.