which of these graphs represents a function? ...

# Answer: Graph B and Graph C represent functions. # Explanation: ## Step1: Recall vertical - line test A graph represents a function if any vertical line drawn on the graph intersects the graph at most once. ## Step2: Apply to Graph A A vertical line can be drawn on Graph A (e.g., at \(x = 0\)) that intersects the graph at multiple points. So, it is not a function. ## Step3: Apply to Graph B For any vertical line drawn on Graph B, it will intersect the graph at most once. So, it is a function. ## Step4: Apply to Graph C For any vertical line drawn on Graph C, it will intersect the graph at most once. So, it is a function. ## Step5: Apply to Graph D A vertical line can be drawn on Graph D (e.g., at \(x = 0\)) that intersects the graph at multiple points. So, it is not a function.