Functions and Their Properties

Functions and Their Properties

1. Continuity

   • A function is continuous at a point if the graph does not come apart at that point
   • Types of Discontinuities
     • Removable Discontinuity
     • Jump Discontinuity
     • Infinite Discontinuity

2. Intervals

   • Increasing
   • Decreasing
   • Constant

3. Boundedness

   • Bounded Above
   • Bounded
   • Bounded Below

4. Extrema

   • Local
   • Absolute

5. Symmetry

   • Even
     • f(-x)=f(x)
   • Odd
     • f(-x)=-f(x)
   • Neither
     • None

6. Asymptotes

   • Vertcal
   • Horizontal
   • Oblique

7. End Behavior