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§2 Quadratic Functions

In this chapter you will learn:

  • What a function is — domain, range, and the vertical line test
  • How a function can grow or decline on an interval
  • What makes a function even or odd, and how to determine it
  • How graph transformations (shifts, reflections, stretches) work
  • Properties of the quadratic function: vertex, axis of symmetry, direction of opening
  • How to solve quadratic inequalities
  • The interval method for solving polynomial inequalities
  • Properties of the parabola and its geometric meaning

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