The graph in the image depicts a blue curve, and the question asks whether this graph represents a function.

To determine if a graph represents a function, we apply the vertical line test. This test states that if any vertical line drawn through the graph intersects the curve at more than one point, then the graph does not represent a function. If every vertical line intersects the graph at most once, then it does represent a function.

Looking at the graph in your image:

• No vertical line appears to intersect the graph at more than one point.
• Thus, the graph passes the vertical line test.

Answer:

The statement is True. The graph does represent a function.

Would you like further details or explanations?

Here are 5 related questions:

1. What is the vertical line test, and how is it used?
2. Can a function have more than one output for the same input?
3. What is the difference between a function and a relation?
4. How would the horizontal line test be used to check if a function is one-to-one?
5. Can a function have a curve that goes below the x-axis and still be a function?

Tip: When identifying functions from graphs, always remember that the vertical line test is the quickest way to confirm.