Problem 1) Does the graph below represent a function or a relation?

Step 1

Ask yourself:

"Can I draw a vertical line (anywhere) that will hit the graph two times ?"

Answer

Answer : NO vertical lines only hit the graph once so this is a function

Problem 2) Does the graph below represent a function or a relation?

Step 1

Ask yourself:

"Can I draw a vertical line (anywhere) that will hit the graph two times ?"

Answer

Answer : Yes a vertical line can hit the graph twice so this is not a function

Problem 3) Does the graph below represent a function or a relation?

Step 1

Ask yourself:

"Can I draw a vertical line (anywhere) that will hit the graph two times ?"

Answer

Answer : Yes a vertical line hits the graph several times , so this is not is a function .

Problem 4) Does the graph below represent a function or a relation?

Step 1

Ask yourself:

"Can I draw a vertical line (anywhere) that will hit the graph two times ?"

Answer

Answer : No. No matter where you try to draw a vertical line, it only hits the graph once
so this is a function

Be careful at x =2. The point (2,1) is not filled in, indicating that the graph does not include the point (2,1). However, notice that (2,2) is completely filled in, because that point is included in the graph.

Problem 5) Does the graph below represent a function or a relation? (look carefully, this graph is slightly different from the prior problem's graph)

Step 1

Ask yourself:

"Can I draw a vertical line (anywhere) that will hit the graph two times ?"

Answer

Answer : Yes. Unlike problem 3, in this case, the point (2,1) is filled in and is,therefore, included in the graph.

As you can see, that one point makes all the difference. this
is not a function

Problem 6) Does the graph below represent a function or a relation? (look carefully, this graph is slightly different from the prior problem's graph)

Step 1

Ask yourself:

"Can I draw a vertical line (anywhere) that will hit the graph two times ?"

Answer

Answer : Yes. This is not a function . In fact, circles, in general, are not functions.

Problem 7) Does the graph below represent a function or a relation? (look carefully, this graph is slightly different from the prior problem's graph)

Step 1

Ask yourself:

"Can I draw a vertical line (anywhere) that will hit the graph two times ?"