Identifying Functions - Worksheet 10 - 8th Grade
HardDetermine whether a relation is a function (Hard)
27 problems · 15-20 minutes · Skills: functions, vertical line test, relations
About This Worksheet
This hard-level worksheet contains 27 problems designed for 8th Grade students practicing identifying functions. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.
Determining whether a relation is a function is a gatekeeping skill in mathematics. Every subsequent topic — graphing, modeling, calculus — assumes the ability to recognize and work with functional relationships.
- Use the vertical line test to determine if a graph represents a function
- Identify functions from tables by checking for repeated inputs with different outputs
- Use mapping diagrams to analyze whether a relation is a function
- Give a counterexample to show why a relation fails to be a function
- Classify real-world relationships as functions or non-functions with justification
How to Solve: Worked Example
- Read the problem carefully.
- Identify what is being asked.
- Use what you know to find the answer.
- Check your work.
Answer Key
Frequently Asked Questions
How do I download this identifying functions - worksheet 10 worksheet?
Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.
How do I find worksheets at different difficulty levels?
Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.
What skills does this functions worksheet cover?
This worksheet focuses on functions, vertical line test, relations. It is designed for 8th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.
Can I use this worksheet in my classroom?
Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.
How many problems are on this worksheet?
This worksheet contains 27 problems. It typically takes 15-20 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.