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 4s coordinate plane graph: a curve with x-axis crossings, peaks, and troughs)
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 Vertical Line Test

A graph represents a function if no vertical line intersects the graph more than once.

Step2: Analyze Graph 4

For Graph 4, when we apply the vertical line test (imagine drawing vertical lines across the graph), each vertical line will intersect the graph at most once. So it passes the vertical line test.

Answer:

Graph 4 (and Graph 1 if it also passes, but based on the checkboxes, Graph 4 is correctly checked as it represents a function)