Vol. 3 · Graphs that move

Linear and Quadratic Functions

A companion to 《一次函数与二次函数》 by Li Weifeng · 7 stops ·

Vol. 1Vol. 2Vol. 3Vol. 4Vol. 5Vol. 6Vol. 7Vol. 8

  1. Ch. 1Linear Functions: Graphs and Propertiesk sets the tilt, b sets the height, and their signs give the quadrants.ConceptM23
  2. Ch. 2Quadratic Functions: Graphs and PropertiesDirection, axis, vertex and six common signs, all read off the picture.ConceptM1
  3. Ch. 3Functions and Quadratic EquationsThe roots are where the graph meets the x-axis. Draw the equation to see them.ConceptM3
  4. Ch. 4Functions and Quadratic InequalitiesNo rhymes to learn. See where the parabola is above the x-axis and read off x.Concept
  5. Ch. 5Maxima and Minima of FunctionsOn an interval, max and min are at the vertex or an endpoint. Find the axis.SkillM1M6M18
  6. Ch. 6Problems on Integer RootsInteger roots need Δ to be a perfect square, but that is not enough.MethodM3M15
  7. Ch. 7Applications of FunctionsCall the changing quantity x, write the function, find its max or min.SkillM11