55.0k views
1 vote
Put a check mark) on the relations that are functions.

1 Answer

3 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

User Kodu
by
6.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.