About Relations and Functions:

A relation is any set of ordered pairs (x,y). A relation where each first component or x-value corresponds to exactly one and only one second component or y-value is called a function. In other words, each x-value can only be associated or linked to exactly one y-value.


Test Objectives
  • Demonstrate the ability to determine if a relation is a function
  • Demonstrate the ability to find the domain and range of a function
Relations and Functions Practice Test:

#1:

Instructions: determine if each relation is a function, state the domain and range.

$$a)\hspace{.2em}{(-2,3), (5,-7), (-2,15), (1,-1)}$$


#2:

Instructions: determine if each relation is a function, state the domain and range.

$$a)\hspace{.2em}{(-1,-5), (9,-3), (7,-5), (3,3)}$$


#3:

Instructions: determine if each relation is a function, state the domain and range.

$$a)\hspace{.2em}{(13,10), (-5,-5), (7,9), (11,2)}$$


#4:

Instructions: determine if the given relation is a function.

a)

mapping diagram: Avalon -> newport beach, azusa -> bell, torrance -> san francisco, arcadia -> malibu

#5:

Instructions: determine if the given relation is a function.

a)

mapping diagram: chicago -> salt lake city, seattle -> denver, houston -> los angeles, memphis
Written Solutions:

#1:

Solutions:

a) Not a Function, Domain:{-2,5,1}, Range:{3, -7, 15, -1}


#2:

Solutions:

a) Function, Domain:{-1,9,7,3}, Range:{-5, -3, 3}


#3:

Solutions:

a) Function, Domain:{13, -5, 7, 11}, Range:{10, -5, 9, 2}


#4:

Solutions:

a) Function


#5:

Solutions:

a) Not a Function