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 of a line in coordinate plane
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 gra

Explanation:

To determine if a graph represents a function, we use the vertical line test: a graph is a function if no vertical line intersects the graph more than once.

Analyzing Graph 2 (shown):

The graph is a straight line (linear). For any vertical line \( x = a \) (where \( a \) is a real number), this line will intersect the graph at most once. Thus, Graph 2 passes the vertical line test and represents a function.

(Note: For the other graphs, we would apply the same test, but since only Graph 2 is visible here, we confirm it is a function. If other graphs were shown, we would check each with the vertical line test.)

Answer:

Graph 2 (check the box for Graph 2)