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
Introduction to Functions 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:
Solution:
a) Function
b) Not a Function
Solution:
a) Function
b) Function
Solution:
a) Function
b) Not a Function
Solution:
a) Function
Solution:
a) Not a Function