Grade 11 Functions Worksheets

Free printable functions practice for Grade 11 students. Generate problems, solve them on screen or paper, and download as PDF.

What your child will practice

  • Function NotationRepresent functions using function notation and evaluate functions for given values.
  • Domain and RangeDetermine the domain and range of functions using algebraic and graphical methods.
  • Zeros of QuadraticsDetermine the zeros of a quadratic function using various methods.

Practice Worksheet

Grade 11 Functions Practice

Solve each problem. Show your work. Use function notation where appropriate.

  1. 1.
    Let f(x) = 3x - 7. Find f(5) and f(-2).
  2. 2.
    Determine the domain and range of the function g(x) = √(x - 4).
  3. 3.
    Find the inverse function of h(x) = 2x + 5.
  4. 4.
    A rectangular garden has a length that is 3 meters more than its width. If the perimeter of the garden is 34 meters, what are the dimensions of the garden? Express your answer in terms of width, w.
  5. 5.
    Find the zeros of the quadratic function p(x) = x² - 5x + 6.
  6. 6.
    An object is thrown upwards from a height of 10 meters. Its height h(t) in meters after t seconds is given by h(t) = -5t² + 20t + 10. What is the maximum height the object reaches?

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Frequently Asked Questions

How often should my child practice functions?

Short daily practice sessions of 10-15 minutes are more effective than long weekly sessions. Consistency builds lasting understanding.

How do I know if my child is at the right level for these worksheets?

If your child can complete about 70% of the problems correctly, the level is appropriate. If it's too easy or too hard, try an adjacent grade level.

Can I use these worksheets for homeschool?

Yes. The worksheets align with standard curriculum expectations and can supplement any math program. Generate multiple worksheets to create a full practice set.

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