FUNCTIONS

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FUNCTIONS by Mind Map: FUNCTIONS

1. Piece-wise

1.1. Included

1.2. Asymtotes

1.3. Not Included

1.4. Constant

2. Real numbers

2.1. Natural

2.2. Intergers

2.3. Irrational

2.4. Rational

2.5. Whole

3. Continuity Test

3.1. Continuous

3.2. Discontinous

3.2.1. Jump

3.2.2. Infinite

3.2.3. Removable

4. Parent Functions

4.1. transformations

4.1.1. rigid

4.1.1.1. Reflection

4.1.1.2. Translation

4.1.1.2.1. Vertical/Horizontal

4.1.1.2.2. Left/Right

4.1.2. non-rigid

4.1.2.1. Dilation

4.1.2.1.1. Compress(Shrink)

4.1.2.1.2. Expand(Enlarge)

4.2. Constant/Zero

4.3. Identity

4.4. Quadratic

4.5. Cubic

4.6. Square Root

4.7. Reciprocal

5. Inverses

5.1. Horizontal Line Test

5.1.1. one-to-one

5.2. opposite domain and range

6. Equations

6.1. Factoring

6.2. Set Notation

6.2.1. Subsets

6.2.1.1. Unions

6.2.1.2. Intersections

6.2.2. Universal Set

6.2.3. Interval Notation

6.2.3.1. Bounded

6.2.3.2. Unbounded

7. Domain

7.1. Implied

7.2. Relevant

7.3. Graphing

7.3.1. range

7.3.2. Increase/Decrease

7.3.3. Limits

7.3.4. Maximum/Minimum

7.3.5. Zero

7.3.6. Y-intercept

7.3.7. End Behavior

7.3.8. Absolute/Relative Exterma

7.3.9. Absolute Extrema

7.3.10. Average Rate of Change

7.3.10.1. Secant Line

7.3.11. Symmetry

7.3.11.1. Y-Axis/X-Axis

7.3.11.2. Origin

7.3.11.3. Line

7.3.11.4. Point

8. Absolute Value Function

9. Greatest Integer Function

9.1. Step Function

9.2. Floor Function

9.3. "Round Down" Function

10. Composition Functions