Question

six graphs are shown below. click on the tabs to see them. 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 any vertical line intersects the graph at most once.

Step2: Analyze Graph 1

Any vertical line will intersect Graph 1 at most once, so it is a function.

Step3: Analyze Graph 2

Any vertical line will intersect Graph 2 at most once, so it is a function.

Step4: Analyze Graph 3

Any vertical line will intersect Graph 3 at most once, so it is a function.

Step5: Analyze Graph 4

There are vertical lines that can intersect Graph 4 at more than one point, so it is not a function.

Step6: Analyze Graph 5 (not shown fully but conceptually)

Without seeing it fully, if a vertical line can intersect it at more than one point, it's not a function.

Step7: Analyze Graph 6 (not shown fully but conceptually)

Without seeing it fully, if a vertical line can intersect it at more than one point, it's not a function.

Answer:

Graph 1, Graph 2, Graph 3