for each graph below, state whether it represents a function. graph 1 function? yes no graph 2 function? yes…

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

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

Any vertical line will intersect the set of 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

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

Step5: Analyze Graph 4

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

Step6: Analyze Graph 5

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

Step7: Analyze Graph 6

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

Answer:

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