Question

activity: decide if the given relationships are functional relationships or not. yes no to every polygon there is assigned a number of angles. a grandmother is assigned to every child. to every man there is assigned a foreign language that the man knows. a child is assigned to every biological father.

Explanation:

Step1: Recall function definition

A function is a relation where each input has exactly one output.

Step2: Analyze "To every polygon there is assigned a number of angles"

For any given polygon, the number of angles is fixed. So each polygon (input) has exactly one number of angles (output). It is a functional relationship.

Step3: Analyze "A grandmother is assigned to every child"

A child can have multiple grand - mothers (maternal and paternal grandmothers). So one child (input) can have more than one grandmother (output). It is not a functional relationship.

Step4: Analyze "To every man there is assigned a foreign language that the man knows"

A man can know multiple foreign languages. So one man (input) can have more than one foreign language (output). It is not a functional relationship.

Step5: Analyze "A child is assigned to every biological father"

A biological father can have multiple children. So one biological father (input) can have more than one child (output). It is not a functional relationship.

Answer:

1. Yes
2. No
3. No
4. No