Functions

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Functions by Mind Map: Functions

1. Sets

1.1. Parent Functions

1.1.1. Transformations

1.1.1.1. Reflections

1.1.1.2. Rotations

1.1.1.3. Translations

1.1.1.4. Dialations

1.1.1.5. Inverses

1.1.2. Identity Function

1.1.3. Constant

1.1.4. Quadratic Function

1.1.5. Square Root Function

1.1.6. Reciprocal Function

1.1.7. Greatest Integer Function

1.1.8. Absolute Value Function

1.1.9. Cubic Function

1.2. Notations

1.2.1. Interval

1.2.2. Set Builder

1.3. Types of Numbers

1.3.1. Real

1.3.1.1. Rational

1.3.1.1.1. Integers

1.3.1.2. Irrational

2. Limit of a Function

2.1. Continuity Test

2.1.1. Continuous

2.1.2. Discontinuous

2.1.2.1. Infinite

2.1.2.2. Jump

2.1.2.3. Removable

2.2. Limit Notation

3. Interpreting Functions

3.1. End Behavior

3.1.1. Increasing

3.1.2. Decreasing

3.1.3. Constant

3.2. Extrema

3.2.1. Maximum

3.2.1.1. Absloulte

3.2.1.2. Relative

3.2.2. Minimum

3.2.2.1. Absolute

3.2.2.2. Relative

3.2.3. Point of Inflection

3.3. Symmetry

3.3.1. Origin

3.3.1.1. Even Function

3.3.2. Y Axis

3.3.2.1. Odd Function

3.3.3. X Axis

3.4. Intercepts

3.4.1. X intercepts or zeroes

3.4.2. Y intercepts

3.5. Combinations and Compostions