This lesson will show you how to identify a function using mapping diagrams. What is a function? A function is a relation in which each element of the domain is paired with exactly one element in the range.
Looking at the mapping diagram above, the elements in the domain are { -5, 1, 6, 0 } and the elements in the range are { 9, -2, -6, 10 }
Since 1 is paired with two elements in the range ( 9 and -6 ), the relation is not a function.
For the relation above, notice that each element in the domain is paired with exactly 1 element in the range.
Therefore, this relation is a function.
Now, what about the last one above? We see that all the elements in the domain are paired with the same element in the range.
What is it also a function? It is still a function because each element in the domain is paired with only 1 element in the range.
For a relation to be a function, it is not necessary that each element in the domain be paired with a different element in the range.
As long as two arrows do not emerge or move out from just 1 element in the domain, we are fine!
Jan 18, 19 10:53 AM
This overtime calculator will help you figure out how much money earned for working overtime
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.
Jan 18, 19 10:53 AM
This overtime calculator will help you figure out how much money earned for working overtime
Our Top Pages
Formula for percentage
Compatible numbers
Basic math test
Basic math formulas
Types of angles
Math problem solver
Algebra word problems
Surface area of a cube
Finding the average
Scale drawings
Everything you need to prepare for an important exam!
K-12 tests, GED math test, basic math tests, geometry tests, algebra tests.
Real Life Math Skills
Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.