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)

#5:

Instructions: determine if the given relation is a function.

a)

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