About Function Definition:

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)}

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

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

{(5,-8),(5,6),(3,1),(7,4)} shown with a picture

#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)}

vertical line test with points (-1,7),(1,1),(3,0),(2,-3),(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)}

vertical line test with points (-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