Functions

1. Fields

1.1. Real numbers

1.2. Complex numbers

2. Relationships

2.1. Domain

2.2. Range

2.3. Inputs

2.4. Outputs

2.5. Slope

2.5.1. Rate of Change

2.6. Inverses

3. Transformations

3.1. Stretch

3.2. Shrink

3.3. Reflection

3.4. Translation

3.5. Rotation

4. Graphing

4.1. Mapping

4.2. Vertical Line test

4.3. Horizontal Line test

4.4. Maximum

4.5. Minimum

4.6. Extrema

4.7. Zeros/Roots

4.8. Concavity

4.8.1. Differentiability

5. Quantification

5.1. Formulas

6. Types of Functions

6.1. Exponential

6.2. Polynomial

6.2.1. Cubic

6.2.2. Quadratic

6.2.3. Quartic

6.2.4. Linear

6.3. Hyperbolic

6.4. Trigonometric

6.5. Logarithmic

6.6. Piecewise

6.7. Rational

7. Purpose

7.1. Math Modeling

7.2. Optimizing

7.3. Area

7.3.1. Integral

7.4. Algorithm

7.5. Probability Distribution

7.6. Volume

8. Behavior

8.1. Increasing

8.2. Decreasing

8.3. Even

8.4. Odd

8.5. Constant

8.6. Undefined

8.7. Injective

8.8. Surjective

8.9. Continuity

8.9.1. Derivative