which of these graphs represents a function? graph a graph b graph c graph d

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.