for each graph below, state whether it represents a function.\ngraph 1\nfunction?\nyes no\ngraph…

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

There are vertical lines that intersect Graph 2 at more than one point. So it is not a function.

Step4: Analyze Graph 3

Each x - value has a unique y - value. Any vertical line intersects at most once. So it is a function.

Step5: Analyze Graph 4

Each x - value has a unique y - value. Any vertical line intersects at most once. So it is a function.

Step6: Analyze Graph 5

There are vertical lines that intersect the circle (Graph 5) at two points. So it is not a function.

Step7: Analyze Graph 6

Any vertical line intersects Graph 6 at most once. So it is a function.

Answer:

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