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28 votes
Put a check mark) on the relations that are functions.

User Mikeesouth
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1 Answer

17 votes
17 votes

The relation will be a function if x not repeated

You can check any graph by drawing a vertical line in different positions, if the vertical line crosses the graph in more than one point, then it is not a function

Look at the first figure

there are some points

If you draw a vertical line passes through them

One point lies on each vertical line

So the first graph is a function

The second graph is a vertical line means all the points on it have the same x-coordinate, then x repeated many times, so

It can not be a function because x never repeated in the function

The third figure is a circle, if you draw a vertical line passing through it, it will cross it in two points, then it is not a function

The fourth figure has two arrows go from x = 0, which means x is repeated, so it's not a function

The fifth figure has two points with the same x coordinate, then it is not a function

The sixth figure is a function because just 1 arrow goes from each x (y can be repeated)

In the table x has different numbers means the table represents a function

In the set of ordered pairs, each x appears just one time, then it is a function

The last graph is a function because any vertical line will cut it in just one point