What's on a Grade 11 function worksheet?

Each pack has up to 12 questions per page with a matching answer key, tuned to Grade 11, with beginner, intermediate, and advanced options so you can match the child's level.

It's function notation ('f of x') naming the output of the rule f for the input x. f(4) means the output when x is 4.

How do you evaluate a function?

Replace every x in the rule with the given number and simplify.

How do you find the inverse of a function?

Swap x and y, then solve the resulting equation for y. For f(x) = mx + b, the inverse is f⁻¹(x) = (x − b) / m.

Is the inverse of a quadratic function also a function?

No — swapping x and y in y = (x − h)² + k and solving gives y = h ± √(x − k), a ± relation with two outputs for most inputs, not a function. It only becomes a function if the original quadratic's domain is restricted first (e.g., to x ≥ h).

What do a, k, d, and c control in y = af(k(x − d)) + c?

a stretches/reflects vertically, k stretches/reflects horizontally, d shifts horizontally, and c shifts vertically.

Grade 11 · Functions

Grade 11 Function Worksheets

Free printable Grade 11 function worksheets, each with an answer key and sized to fit one page. Pick beginner, intermediate, or advanced and generate a fresh pack in seconds. No AI, no wrong answers.

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Free to start · answer keys included · your first pack unlocks 14 days of Standard · no card required.

Grade 11 examples by level

Beginnerf(x) = 4x + 4; f(8) =36
Intermediatef(x) = −9x − 1. Find f⁻¹(x) =f⁻¹(x) = (x + 1) / -9
Advancedf(x) = x² − 5x + 10; f(2) =4

Real problems from the generator: always mathematically correct, and every pack is different.

Why Grade 11 function practice matters

Functions are the language of higher math and science; reading f(x) notation and evaluating it fluently is the gateway to graphing, modelling, and calculus. Inverses and transformations build the graphical intuition that everything from trigonometry to exponential models leans on.

Grade 11 is the only grade Mathter offers function worksheets for.

Want the full method, tips, and common mistakes? Read the Function Worksheets: Evaluating, Inverses & Transformations guide.

Frequently asked questions

What's on a Grade 11 function worksheet?: Each pack has up to 12 questions per page with a matching answer key, tuned to Grade 11, with beginner, intermediate, and advanced options so you can match the child's level.
What does f(x) mean?: It's function notation ('f of x') naming the output of the rule f for the input x. f(4) means the output when x is 4.
How do you evaluate a function?: Replace every x in the rule with the given number and simplify.
How do you find the inverse of a function?: Swap x and y, then solve the resulting equation for y. For f(x) = mx + b, the inverse is f⁻¹(x) = (x − b) / m.
Is the inverse of a quadratic function also a function?: No — swapping x and y in y = (x − h)² + k and solving gives y = h ± √(x − k), a ± relation with two outputs for most inputs, not a function. It only becomes a function if the original quadratic's domain is restricted first (e.g., to x ≥ h).
What do a, k, d, and c control in y = af(k(x − d)) + c?: a stretches/reflects vertically, k stretches/reflects horizontally, d shifts horizontally, and c shifts vertically.

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Free to start · answer keys included · your first pack unlocks 14 days of Standard · no card required.