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Free 11th Grade Functions Worksheets

6 free functions resources for 11th Grade: 4 worksheets, 2 study guides. Answers included.

Function notation, domain and range, transformations. 11th grade is the first year of senior study.

Students will practice: using function notation to evaluate and substitute expressions; deciding whether a relation is a function using the vertical line test; finding the natural domain of square-root and rational functions; finding the range of a function by completing the square or using a restricted domain; describing vertical and horizontal translations of a graph; describing dilations (stretches) and reflections in the axes; finding the image of a point under a sequence of transformations; writing the equation of a transformed function and stating its key features.

Recommended learning path

  1. 1Functions, Domain and Range
  2. 2Transformations of Functions
  3. 3Polynomials: Division, Factor and Remainder Theorems
  4. 411th Grade Function Notation, Composites and Inverses Worksheet — Level 1
  5. 511th Grade Function Notation, Composites and Inverses Worksheet — Level 2
  6. 611th Grade Function Notation, Composites and Inverses Worksheet — Level 3
Type:
Level:

Worksheets

Printable practice with an answer sheet.

  • Worksheet

    Polynomials: Division, Factor and Remainder Theorems

    A senior math worksheet on polynomials: degree, leading coefficient and evaluating P(a), dividing a polynomial by a linear or quadratic…

    Difficulty
    Level 3 · Challenge
    Time
    50 min
    Questions
    16 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Function Notation, Composites and Inverses Worksheet — Level 1

    Evaluate functions written in f(x) notation, form composite functions and find the inverse of a linear function. Builds confidence with…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Function Notation, Composites and Inverses Worksheet — Level 2

    Evaluate functions written in f(x) notation, form composite functions and find the inverse of a linear function. Expected-level practice…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Function Notation, Composites and Inverses Worksheet — Level 3

    Evaluate functions written in f(x) notation, form composite functions and find the inverse of a linear function. A challenge set for…

    Difficulty
    Level 3 · Challenge
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included

Study Guides

Clear explanations, examples and tips.

  • Study Guide

    Functions, Domain and Range

    A senior study guide to function notation, the vertical line test, and finding the domain and range of common functions. Worked examples…

    Difficulty
    Level 2 · Standard
    Time
    25 min
  • Study Guide

    Transformations of Functions

    A senior study guide to translating, stretching and reflecting graphs using the form y = a f(b(x − h)) + k. Worked examples track…

    Difficulty
    Level 2 · Standard
    Time
    25 min

All functions worksheets, every grade →

Common questions

What do 11th Grade students learn about functions?

Function notation, domain and range, transformations. At 11th Grade, our resources focus on: using function notation to evaluate and substitute expressions; deciding whether a relation is a function using the vertical line test; finding the natural domain of square-root and rational functions; finding the range of a function by completing the square or using a restricted domain.

Where should we start?

Read the study guide first, then start with the Level 1 or Level 2 worksheet. Finish with the topic test.

Are answers included?

Yes — every worksheet has an answer sheet. Maths answer sheets show the working; English tasks include model answers or success criteria.

How to use these resources

  1. Start with the Level 1 worksheet for the topic — if it's easy, move up a level.
  2. Use the answer sheet's working, not just the final answer, to check the method.
  3. Finish a topic with the topic test to see whether the skill is secure.
  4. Two or three short sessions a week beat one long one.

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