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Math · Intermediate

Functions & Graphs

See functions as machines and as pictures. Read slopes, move graphs around, find the best fence for your field, and discover why exponential growth beats everything in the end.

8 lessons~55 min0/8 complete
Start courseHelpful background: Solving Equations
1

Functions and Lines

Inputs, outputs, and the simplest graphs.

  1. Input → OutputFunctions as machines
  2. LinesSlope and intercept
2

Moving Graphs

Shift, stretch and flip, then put parabolas to work.

  1. Shifts & StretchesMove any graph around
  2. Combining & UndoingComposition and inverse functions
  3. Piecewise & Absolute ValueFunctions with different rules
  4. Parabolas at WorkRoots, vertices and the best fence
3

Growth

Exponentials and their undo button.

  1. Exponential GrowthMultiplying, not adding
  2. LogarithmsUndoing exponentials

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