Difference Between Relation and Function

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.

• Yes, because each x-value has only one y-value paired with it.

• No, because the x-value 11 has two y-values pair with it.

• No, because each x-value has only one y-value paired with it.

• Function
• Not a Function

• Function
• Not a Function

What is the difference between a relation and a function?

• A relation can have multiple input values for a single output value, while a function has only one input value for each output value.

• A relation can have multiple output values for a single input value, while a function has only one output value for each input value.

• A relation is a one-to-one mapping, while a function is a many-to-many mapping.

• A relation is a mathematical concept, while a function is a programming concept.

Explain the difference between a relation and a function.

• A relation is a special type of function, while a function is a set of ordered pairs.

• A relation is a one-to-one mapping, while a function can have multiple outputs for the same input.

• A relation is always linear, while a function can be non-linear.

• A relation is a set of ordered pairs, while a function is a special type of relation where each input has only one output.

The following mapping is​ ​ (a)   ​ because ​ ​​ ​ ​ (b)   .

• not a function

• an input maps to more than one output

• each output maps to exactly one input

• a function

• each input maps to exactly one output.

• both a function and one-to-one

a) Is this a function?  (a)  

The domain is​ (b)  

The range is​ (c)  

• Yes

• No

• {-1, 0, 1, 2, 3}

• {-1, 1, 2, 3}

• {1, 2, 3}

• {0, 1, 2, 3}

The relation ​ (a)   a function.

• is not

• is

Is this relation a Function?

• Yes

• No

• I Don't Know

Is this a function? 

• Yes

• No