Determining if a Relation and Graph Is a Function

A relation exists between two sets of numbers if we can find a ​ that maps members of the first set (​ (a)   ​ ) onto members of the second set (​codomain). The ​ (b)   must hold for all possible pairs that are connected. So that when we select a value of x, also called an ​​ (c)   , and apply the rule of the relation, we obtain the ​ (d)   ​ , also called the ​​ We can also refer to the​ y value ​ as the ​ of the ​ ​of the ​output. We can also refer to the y value as the ​ (e)   of the x value ​.

• domain

• rule

• input

• y value

• image

Which type of relation is shown?

• one-to-one

• one-to-many

• many-to-one

• many-to-many

What type of relation does the mapping diagram show?

• one-to-one

• one-to-many

• many-to-one

• many-to-many

Using a vertical line test, which of the following graph is NOT a function?

• 
• 
• 
• 

Is this graph a function or not a function? 

• Function

• Not a Function

Determine if the graph is a function. `​ (a)   `

• Not a Function

• Function

Is this graph a function? ​ (a)  

Domain: ​ ​ (b)   ≤ ​ x ≤ ​ ​ (c)  

Range: ​ (d)   ≤ y​ ≤ ​ (e)  

• Yes

• No

• -4

• -2

• 0

• 2

• 4

• 6

• 8

Determine if the graph is a function. `​ (a)   `

• Not a Function

• Function

Determine if the graph is a function. `​ (a)   `

• Not a Function

• Function

Determine if the graph is a function. `​ (a)   `

• Not a Function

• Function