for each graph below, state whether it represents a function.\ngraph 1\nfunction? yes no\ngraph 4\nfunction…

for each graph below, state whether it represents a function.\ngraph 1\nfunction? yes no\ngraph 4\nfunction? yes no\ngraph 2\nfunction? yes no\ngraph 5\nfunction? yes no\ngraph 3\nfunction? yes no\ngraph 6\nfunction? yes no

for each graph below, state whether it represents a function.\ngraph 1\nfunction? yes no\ngraph 4\nfunction? yes no\ngraph 2\nfunction? yes no\ngraph 5\nfunction? yes no\ngraph 3\nfunction? yes no\ngraph 6\nfunction? yes no

Answer

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

A vertical line can intersect the circle at two points. So it is not a function.

Step3: Analyze Graph 2

Each x - value has a unique y - value. Any vertical line will intersect the graph at most once. So it is a function.

Step4: Analyze Graph 3

Each x - value has a unique y - value. Any vertical line will intersect the graph at most once. So it is a function.

Step5: Analyze Graph 4

Each x - value has a unique y - value. Any vertical line will intersect the graph at most once. So it is a function.

Step6: Analyze Graph 5

Each x - value has a unique y - value. Any vertical line will intersect the graph at most once. So it is a function.

Step7: Analyze Graph 6

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

Answer:

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