Question

six graphs are shown below. click on the tabs to see them.
graph 1 graph 2 graph 3 graph 4 graph 5 graph 6
check the box corresponding to each graph that represents a function.
graph 1 graph 2 graph 3 graph 4 graph 5 graph 6 none of the graphs

Explanation:

Step1: Recall the Vertical Line Test

A graph represents a function if no vertical line intersects the graph at more than one point. For a set of points (like in Graph 5), we check if any x - value is repeated. If each x - value has at most one y - value, it's a function.

Step2: Analyze Graph 5's Points

First, identify the x - coordinates of the points in Graph 5. Let's assume the points have x - values (from the grid). We check if any x - value is shared by more than one point. Looking at the plotted points, each x - coordinate is associated with only one y - coordinate. So, by the vertical line test (for discrete points, checking unique x - values), Graph 5 represents a function.

Answer:

Graph 5