1. f(x)
   1. Domain
   2. Range
   3. Symmetry
      1. Even Function
         1. Symmetric about the y-axis
            1. f(-x)=f(x)
      2. Odd Function
         1. Symmetric about the origin
            1. f(-x)=-f(x)
   4. Horizontal Asymptotes
      1. Take Limit of f(x) as x-> Infinity/-Infinity
   5. Vertical Asymptotes
      1. Find out where f(x) is undefined
         1. Take a limit as x approaches the undefined number
   6. Holes (discontinutities)
      1. Factor f(x) and see if terms cancel out on the numerator and denominator
   7. x-intercepts
      1. Factor f(x) and solve f(x)=0
   8. y-intercept
      1. Set x=0 in f(x) and solve for y
2. f'(x)
   1. Find Critical Numbers of f'(x)
      1. Make a Chart
         1. Increasing Intervals
            1. f'(x)>0
         2. Decreasing Intervals
            1. f'(x)<0
         3. The First Derivative Test
            1. f'(x) changes sign from + to -
            2. Local Max
            3. f'(x) changes sign from - to +
            4. Local Min
3. f''(x)
   1. The Second Derivative Test
      1. f'(c)=0 or f'(c) is UND
         1. f''(c)>0
            1. Local Min at c
         2. f''(c)<0
            1. Local Max at c
         3. f''(c)=0
            1. Can't say anything
            2. Use the First Derivative Test to check to see if Local Max/Min at c
   2. Find Critical Numbers of f''(x)
      1. Make a Chart
         1. Concave Up Interval
            1. f''(x)>0
         2. Concave Down Interval
            1. f''(x)<0
         3. Points of Inflection
            1. f'' changes sign