Is the Relation a Function? Mapping Diagrams
Written by Adi Ackerman, Head Teacher
"Is the Relation a Function? Mapping Diagrams" is written for 8th Grade (Ages 13-14), and it covers Common Core 8.F.A.1. A 7th grader who is already steady on functions can use it too, and an older student can use it as a short review.
8th grade math worksheet: read mapping diagrams, decide which are functions and write an ordered pair for every arrow. Answer key included. Part of our what is a function functions collection. Aligned to Common Core standards.
How do I use this worksheet?
Start with What Makes a Relation a Function, then work through pairs, tables, mapping diagrams and graphs. Use the card sort as a review.
What students will practice
- Students will read inputs and outputs on a mapping diagram.
- Students will decide whether each diagram shows a function.
- Students will write one ordered pair for each arrow, starting at the top.
What Makes a Relation a Function
Functions From Sets of Ordered Pairs
Functions From Input-Output Tables
Functions From Graphs, Vertical Line Test
Check for Functions in Five Forms
Linear or Nonlinear From Graphs and Equations
Linear or Nonlinear From Tables, Constant Differences
Linear or Nonlinear Tables With Uneven Inputs
Curriculum Links
Common Core State Standards
Functions · 8th Grade
Standard: Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
View all 8.F.A.1 worksheets →Find this in the curriculum
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FAQ
How do I use this what is a function worksheet?
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Start with What Makes a Relation a Function, then work through pairs, tables, mapping diagrams and graphs. Use the card sort as a review.
What does this worksheet teach?
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Read mapping diagrams, decide which are functions and write an ordered pair for every arrow. A relation is a function when each input is paired with exactly one output. The directions on the page read: Is each mapping diagram a function? Circle Yes or No. Then write one ordered pair (x, y) for each arrow, starting with the top input. An answer key is included.
Can I use this what is a function worksheet for homeschool or classroom?
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Yes, both. We made it for 8th grade functions, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
What is the difference between a relation and a function?
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A relation is any set of input and output pairs. A function is a relation where no input has two different outputs. What Makes a Relation a Function asks students to name the input that breaks the rule.
Can two inputs have the same output in a function?
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Yes. A set like (2, 8), (4, 8), (6, 8) is still a function, because each input has only one output. Only one input with two outputs breaks the rule.
What are domain and range?
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The domain is the set of inputs and the range is the set of outputs. Functions From Sets of Ordered Pairs has students write both in braces, each value once.
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What Makes a Relation a Function
Functions From Sets of Ordered Pairs
Functions From Input-Output Tables
Functions From Graphs, Vertical Line Test
Check for Functions in Five Forms
Linear or Nonlinear From Graphs and Equations
Linear or Nonlinear From Tables, Constant Differences
Linear or Nonlinear Tables With Uneven Inputs