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 an understanding of a relation
• Demonstrate the ability to determine if a relation is a function
• Demonstrate the ability to find the domain and range of a function
Function Definition Practice Test:

#1:

Instructions: Determine if each relation is a function.

a){(-6,-3),(2,4),(7,1),(8,9)}

b){(-2,6),(3,4),(3,-1),(7,-11)}

#2:

Instructions: Determine if each relation is a function.

a){(-1,-1),(3,7),(8,-8),(6,4)}

b){12,3),(6,9),(9,6),(1,4)}

#3:

Instructions: Determine if each relation is a function.

a){(2,1),(17,6),(9,6),(-4,8)}

b){(5,-8),(5,6),(3,1),(7,4)}

#4:

Instructions: Use the vertical line test to determine if each relation is a function.

a){(-1,7),(1,1),(2,-3),(3,0),(7,5)}

#5:

Instructions: Use the vertical line test to determine if each relation is a function.

a){(-3,7),(-3,2),(-1,3),(1,1),(2,3),(4,6),(6,1),(6,-2)}

Written Solutions:

#1:

Solutions:

a) Function

b) Not a Function

#2:

Solutions:

a) Function

b) Function

#3:

Solutions:

a) Function

b) Not a Function

#4:

Solutions:

a) Function

#5:

Solutions:

a) Not a Function