Functions
by Luke Knapke
1. Parent
1.1. Quadratic
1.2. Absolute
1.3. Square Root
1.4. Cubic
1.5. Reciprocal
1.6. Identity
1.7. Greatest Integer
1.8. Constant
2. Analyzing Graphs
2.1. Transformations
2.1.1. Translations
2.1.1.1. Vertical
2.1.1.2. Horizontal
2.1.2. Reflections
2.1.2.1. X-Axis
2.1.2.2. Y-Axis
2.1.3. Dilatons
2.1.3.1. Vertical
2.1.3.1.1. Stretch
2.1.3.1.2. Compression
2.1.3.2. Horizontal
2.1.3.2.1. Stretch
2.1.3.2.2. Compression
2.2. Axis Intercepts
2.2.1. Y-Intercepts
2.2.2. X-Intercepts (zero)
2.3. Extrema
2.3.1. Classifying
2.3.1.1. Absolute
2.3.1.2. Relative
2.4. Rate of Change
2.4.1. Secant Line
3. Notations
3.1. Function
3.2. Interval
3.2.1. Properties of #'s In a Set
3.3. Set-Builder
3.3.1. Properties of #'s In a Set
3.4. Limit
4. Characteristics
4.1. Symmerty
4.1.1. Point
4.1.1.1. Origin
4.1.2. Line
4.1.2.1. X-Axis(odd)
4.1.2.2. Y-Axis(even)
4.2. Inverse
4.2.1. Horizontal Line Test
4.2.1.1. One-to-One
4.2.2. Function
4.2.2.1. Algracially
4.2.3. Graphing
4.3. End Behavior
4.3.1. Infinity
4.3.2. Negative Infinity
4.3.3. Approach a Value
4.4. Continuity
4.4.1. Continuous
4.4.2. Discontinuous
4.4.2.1. Infinite
4.4.2.2. Jump
4.4.2.3. Removable