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 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 it more than once.

Analyzing Graph 4:

Looking at Graph 4 (the parabola - shaped graph opening downward), we apply the vertical line test. For any vertical line \( x = a \) (where \( a \) is a real number), the line will intersect the graph at most once. This satisfies the vertical line test, so Graph 4 represents a function.

(Note: Since the initial checkmarks show Graph 2 and Graph 4 as selected, we confirm Graph 4 is a function. For completeness, if we analyze other graphs (not shown here), we’d repeat the vertical line test. But for Graph 4, the vertical line test confirms it is a function.)

If the task is to confirm Graph 4:

Graph 4 passes the vertical line test (no vertical line intersects it more than once), so it represents a function.

Answer:

Graph 4 represents a function (as confirmed by the vertical line test).

(If the question is about which graphs are functions, and Graph 4 is one, the answer includes Graph 4. Assuming the checkmark for Graph 4 is correct, it is a function.)