for each graph below, state whether it represents a function.\ngraph 1\ngraph 2\ngraph 3\nfunction?\nyes…

Explanation:

Step1: Recall vertical - line test

A graph represents a function if and only 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

Each x - value has a unique y - value among the discrete points. 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

A vertical line can intersect Graph 4 at two points. So it is not a function.

Step6: Analyze Graph 5

A vertical line can intersect Graph 5 at two points. So it is not a function.

Step7: Analyze Graph 6

Each x - value has a unique y - value among the discrete points. So it is a function.

Answer:

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