Math Ladder

Functions worksheets Grade 10

Function notation, domain, operations and composition of functions, inverses, transformations, and average rate of change.

  1. Evaluating functionsFind f(a) by putting the number in for every x.
  2. Finding the domain of a functionFind the domain of functions with denominators and square roots.
  3. Adding, subtracting and multiplying functionsFind (f + g)(x), (f − g)(x) and (fg)(x), then simplify.
  4. Composition of functionsFind f(g(x)) by putting all of g(x) in for x, working from the inside out.
  5. Inverse functionsFind the inverse of a function by swapping x and y and solving for y.
  6. Transformations of functionsWrite the new function after shifts, reflections and stretches.
  7. Even and odd functionsFind f(−x) and decide whether a function is even, odd or neither.
  8. Average rate of changeFind the average rate of change of a function between two x values.

Unit packet

One two-sided worksheet for every topic, then the unit test, with the answer key at the back. Fresh each time.

Unit test

Two problems from every topic. Pass it and move up to the next unit.