1. The problem asks us to determine which of the given relations are functions based on their graphs. 2. A function is a relation where each input (x-value) has exactly one output (y-value). 3. To check if a graph represents a function, we use the Vertical Line Test: if any vertical line intersects the graph more than once, the graph is not a function. 4. Analyze each graph: - Top-left (ellipse): A vertical line through the center intersects the ellipse twice, so it is not a function. - Top-right (elongated S curve): Any vertical line intersects the curve only once, so it is a function. - Bottom-left (straight line with negative slope): Any vertical line intersects the line once, so it is a function. - Bottom-right (circle): A vertical line through the center intersects the circle twice, so it is not a function. 5. Therefore, the relations that are functions are the top-right and bottom-left graphs. Final answer: The top-right and bottom-left graphs represent functions.