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
(graph 3s coordinate plane with a circle centered near (-0.5, -1)大概)
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 and only if no vertical line intersects the graph more than once.

Step2: Analyze Graph 3

For Graph 3, which is a circle, if we draw a vertical line (e.g., \(x = -0.5\)), it will intersect the circle at two points. So, Graph 3 does not pass the vertical line test.

Answer:

Graph 3 should not be checked (the box for Graph 3 should be unchecked) because it fails the vertical line test (a vertical line intersects it more than once, so it is not a function).