The question presented asks to identify which graph shows a function. To solve this, we can apply the vertical line test, which determines if a graph represents a function. If any vertical line drawn on the graph passes through more than one point, then the graph does not represent a function.

Let’s analyze the four graphs:

1. Top-left graph: This graph shows an oval-like shape. A vertical line could intersect this graph in two places, which means it fails the vertical line test. This graph is not a function.

2. Top-right graph: This graph has a series of horizontal steps. Each vertical line would intersect this graph in only one place, so it passes the vertical line test. This graph is a function.

3. Bottom-left graph: This graph has a zigzag line. A vertical line could intersect the graph at multiple points where the slope changes direction, meaning it fails the vertical line test. This graph is not a function.

4. Bottom-right graph: This graph is a straight diagonal line, and any vertical line drawn will only intersect the graph at one point. It passes the vertical line test. This graph is a function.

Thus, the top-right and bottom-right graphs show functions. However, based on the context, it seems you're asked to pick just one. The top-right graph is likely the most distinct example of a function.

As for the justification:

• The correct answer is likely the first option: "There is not a vertical line that would contain more than one ordered pair from the relation," which describes why it passes the vertical line test.

Would you like further details on this solution?

Here are 5 related questions to expand your understanding:

1. What is the vertical line test, and how does it work?
2. Can a function have two different y-values for the same x-value?
3. How are functions different from relations?
4. How can you tell if a graph represents a one-to-one function?
5. What is the significance of a function passing the vertical line test?

Tip: Always check for intersections on different parts of the graph when using the vertical line test to ensure accuracy.