IDENTIFYING FUNCTIONS FROM MAPPING DIAGRAMS WORKSHEET

Problem 1 :

Determine whether the relationship given in the mapping diagram is a function.

Problem 2 :

Determine whether the relationship given in the mapping diagram is a function.

Problem 3 :

Determine whether the relationship given in the mapping diagram is a function.

Problem 4 :

Determine whether the relationship given in the mapping diagram is a function.

Problem 5 :

Determine whether the relationship given in the mapping diagram is a function.

Problem 6 :

Determine whether the relationship given in the mapping diagram is a function.

Problem 7 :

Is it possible for a function to have more than one input value but only one output value? Provide an illustration to support your answer.

Answers

1. Answer :

Since each input value is paired with only one output value, the relationship given in the above mapping diagram is a function.

2. Answer :

Since 2 is paired with more than one output value (both 20 and 40), the relationship given in the above mapping diagram is not a function.

3. Answer :

Since each input value is paired with only one output value, the relationship given in the above mapping diagram is a function.

Note :

In the above mapping diagram, b and c have the same output value. However, b has only one output value y and c also has only one output value y. Moreover, no input value has more than one output value.

4. Answer :

Since each input value is paired with only one output value, the relationship given in the above mapping diagram is a function.

5. Answer :

Since the input value 3 is paired with more than one output value, the relationship given in the above mapping diagram is not a function.

6. Answer :

Since the input value c is not paired with any output value, the relationship given in the above mapping diagram is not a function.

7. Answer :

Yes, a function can possibly have more than one input value, but only one output value.

Illustration :

In the above mapping diagram, there are three input values (1, 2 and 3). But there is only one out put value 4. 

According to the rule, each input value must have only one output value and no input value should have more than one output value. 

In the above mapping diagram, input value 1 has only one output value 4. The same has happened to the other two input values 2 and 3 also. No input value has more than one out put value. 

So, the relationship given in the above mapping diagram is a function. 

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.

©All rights reserved. onlinemath4all.com

Recent Articles

  1. Definition of nth Root

    Sep 29, 22 04:11 AM

    Definition of nth Root - Concept - Examples

    Read More

  2. Worksheet on nth Roots

    Sep 29, 22 04:08 AM

    Worksheet on nth Roots

    Read More

  3. Inverse Property of Multiplication Worksheet

    Sep 29, 22 12:02 AM

    Inverse Property of Multiplication Worksheet

    Read More