f(x) = 2x − 5; find f(4)
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3
Free printable worksheet
Function Notation Worksheet
Thirty-two evaluations across eight linear, quadratic, absolute value, radical, exponential, rational, cubic, and piecewise rules.
Algebra 1Grades 7-105 pagesAnswer key included
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What this worksheet includes
- Thirty-two evaluations across eight linear, quadratic, absolute value, radical, exponential, rational, cubic, and piecewise rules.
- 5-page printable PDF with a complete answer key
- Designed for Grades 7-10 algebra 1 practice
- Available as an immediate free download with no email required
How to use it
Use this function notation worksheet for guided practice, independent review, homework, tutoring sessions, or a quick skills check. The spacious layout is designed to leave room for students to show their work rather than guess from crowded answer choices.
After students finish, compare their reasoning with the included answer key. When an answer is incorrect, have the student locate the first step where their work changed direction before trying the problem again.
Who this practice is for
This resource is designed for grades 7-10 students working on algebra 1. Teachers, tutors, homeschool families, and parents can preview the first page before deciding whether the level and spacing fit the student.
Looking for a broader sequence? Browse all Algebra I worksheets.
Topic guide
How to approach function notation
Function notation such as f(3) asks for the output when the input is 3. Replace every x in the rule with the given input, use parentheses around negative inputs, and then follow the order of operations.
The worksheet moves across linear, quadratic, absolute-value, radical, exponential, rational, cubic, and piecewise functions so students practice the notation rather than memorizing one function pattern.
Learning objectives
- Interpret function inputs and outputs
- Evaluate several function families
- Use the correct piece of a piecewise rule
Skills to review first
- Substitution
- Order of operations
- Operations with signed numbers
Worked example
Follow the reasoning step by step
If g(x) = x² − 3x + 1, find g(−2).
- Replace each x with (−2).
- Write g(−2) = (−2)² − 3(−2) + 1.
- Evaluate the power and products: 4 + 6 + 1.
- Add to obtain 11.
Solution: g(−2) = 11.
Try before downloading
Three sample problems
Work each problem, then open the answer to check your result.
h(x) = |x + 1|; find h(−4)
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3
p(x) = √(x + 5); find p(4)
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3
Error check
Common mistakes to watch for
- Multiplying f by the input
- Replacing only one occurrence of x
- Omitting parentheses around a negative input