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

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 the points at most once. So it is a function.

Step3: Analyze Graph 2

Any vertical line will intersect the graph at most once. So it is a function.

Step4: Analyze Graph 3

A vertical line at (x = 0) will intersect the graph at two points. So it is not a function.

Step5: Analyze Graph 4

Any vertical line will intersect the points at most once. So it is a function.

Step6: Analyze Graph 5

Any vertical line will intersect the graph at most once. So it is a function.

Step7: Analyze Graph 6

A vertical line in the middle will intersect the graph at two points. So it is not a function.

Answer:

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