for each graph below, state whether it represents a function.\nfunction?\nfunction?

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

Some vertical lines will intersect Graph 2 at more than one point. So it is not 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

Any vertical line will intersect Graph 4 at most once. So it is a function.

Step6: Analyze Graph 5

Some vertical lines will intersect Graph 5 at more than one point. So it is not a function.

Step7: Analyze Graph 6

Some vertical lines will intersect Graph 6 at more than one point. So it is not a function.

Answer:

Graph 1: Yes Graph 2: No Graph 3: Yes Graph 4: Yes Graph 5: No Graph 6: No