Answer to Question #163210 in Algebra for Secret

Question

Determine if this is a function or a relation

X. Y.

2. 3 or 4

3. 7

5. 9

What would happen if you graphed the following table on graph paper? Explain why drawing connecting all of the points would create a problem.

X. Y

1. 5 and 7

2. 9

3. 11

4. 13

Answer 1

x y

2 3 or 4

3 7

5 9

The above table is a relation table as it shows the relationship between x and y. A function establishes linkage between one OUTPUT for each given INPUT. The relation can be shown as below:

Relation in table

x y

2 3 or 4

3 7

5 9

Relation in Mapping:

Relation in Graph

X. Y

1. 5 and 7

2. 9

3. 11

4. 13

The above table can be plotted as (1, 5), (1, 7), (2, 9), (3, 11), and (4, 11)

Relation in Table:

X. Y

1. 5

1 7

2. 9

3. 11

4. 13

Relation in Mapping

Relation in Graph:

As can be seen from the graph plot in both cases. the table and mapping shows explanatory relation while on graph, the ambiguity occurs as for the same point x = 1, there are twooutputs i.e. 5 and 7. Therefore, plotting such many to one relation finds problem in graph plot.