Nonlinear functions: practice and worksheets
Recognize and analyze nonlinear functions, including quadratic, exponential, and other changing-rate relationships.
Concept overview
A nonlinear function does not have one constant rate of change. Its graph is not a single straight line, and tables reveal changing first differences or a constant multiplicative ratio.
Key points
- Use first and second differences to distinguish linear and quadratic patterns.
- Identify exponential behavior by a constant ratio between consecutive outputs.
- Interpret intercepts, maximums, minimums, and intervals in context.
Worked example
The outputs 1, 4, 9, 16 have first differences 3, 5, 7 and constant second difference 2, which is evidence of a quadratic pattern.
Try it free
Answer a few questions without signing in. You will get instant feedback, but open-preview progress is not saved.
Questions by difficulty
Nonlinear functions worksheet practice
Use the printable worksheet for independent practice, then check the answer key and worked explanations.
Frequently asked questions
How should I practice Nonlinear functions?
Start with foundation questions, check each answer, and move up a level after several correct answers in a row.
How many practice questions are available?
IQClub currently has 533 published questions for this skill.
Can I use this for test preparation?
Yes. The practice reinforces school mathematics and the same reasoning used in high-school tests and entrance exams.