Mr. Integral

THE BIG IDEA

Optional Function Refresher

Which graph-reading skills do limits rely on?

This optional refresher collects the function ideas used immediately in calculus. Focus on domains, branch conditions and jump behavior; skip ahead to limits if these already feel familiar.

Begin the first lesson →See the lesson route ↓

5 lessons · No deadlines or locked lessons

SEE THE CONNECTIONS

How the ideas fit together.

A map of the main ideas. Follow a node to its lesson.

  1. Start with01Allowed inputs
  2. different rules on inputs create02Piecewise graphs
  3. moving a known graph gives03Graph shifts
  4. discrete output levels create04Step functions

YOUR LEARNING ROUTE

One idea at a time.

Read the explanation, use the visualization, then try the check before opening its reasoning.

Keep the unit cheat sheet handy →
Lessons in this unit5 lessons
  1. 01Domain and RangeDetermine a domain from the operations defining a function.
  2. 02Graphing Piecewise FunctionsMatch open and closed graph endpoints to branch conditions.
  3. 03Shifting a GraphDistinguish horizontal and vertical translations.
  4. 04The Signum FunctionRead the three branches of the signum function.
  5. 05The Greatest Integer FunctionEvaluate the floor function correctly for negative inputs.