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.
Free Practice Worksheets
Print, solve on paper, then upload a photo for instant AI grading and feedback.
Build confidence with approachable problems
Solve each problem. Take your time.
- 1.Given the function f(x) = 3x + 5, find the value of f(2).
- 2.For the function g(x) = x² - 1, what is the value of g(-3)?
- 3.If h(x) = 5 - 2x, find the value of x when h(x) = 11.
- 4.Let k(x) = x/2 + 4. What is the value of k(10)?
- 5.Given the function f(x) = 4x - 7, find the value of f(0).
- 6.If m(x) = 2x², find the value of m(5).
Full range of grade expectations
Solve each problem. Show your work.
- 1.Let f(x) = 3x² - 5x + 2. Find the value of f(-2) and determine the domain and range of the function.
- 2.Determine if the following functions are inverses of each other: g(x) = 2x + 5 and h(x) = (x - 5) / 2.
- 3.A population of bacteria doubles every hour. If the initial population is 100 bacteria, write an exponential function to model the population P after t hours. How many bacteria will there be after 5 hours?
- 4.Consider the arithmetic sequence: 7, 12, 17, 22, ... Find the 15th term and the sum of the first 20 terms.
- 5.A ball is thrown upwards from a height of 1.5 meters with an initial velocity of 10 meters per second. The height h (in meters) of the ball after t seconds is given by the function h(t) = -4.9t² + 10t + 1.5. Find the maximum height the ball reaches and the time it takes to reach that height.
- 6.Convert 210 degrees to radians. On the unit circle, what are the coordinates of the point corresponding to an angle of 5π/6 radians?
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Create a Free AccountFrequently 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.