FUNCTIONS

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FUNCTIONS by Mind Map: FUNCTIONS

1. Real Numbers

1.1. Irrational Numbers

1.2. Natural Numbers

1.3. Whole Numbers

1.3.1. Natural Numbers

1.4. Integers

1.4.1. Natural Numbers

1.4.2. Whole Numbers

1.5. Rational Numbers

1.5.1. Natural Numbers

1.5.2. Whole Numbers

1.5.3. Integers

2. Symmetry

2.1. x-axis

2.2. y-axis

2.2.1. Even Functions

2.3. origin/point

2.3.1. Odd Functions

3. Parent Functions

3.1. Constant Function: f(x) = c

3.2. Identity/Linear Function: f(x) = x

3.3. Quadratic Function: f(x) = x^2

3.4. Cubic Function: f(x) = x^3

3.5. Radical/Square Root Function: f(x) = square root of x

3.6. Reciprocal Function: f(x) = 1 / x

4. Limits

4.1. Limit Notation

4.1.1. End Behavior

4.2. Continuity Test

4.2.1. Continuities

4.2.2. Discontinuities

4.2.2.1. Removable

4.2.2.2. Non-Removable

4.2.2.2.1. Jump

4.2.2.2.2. Infinite

5. Extrema

5.1. Relative Minimum

5.2. Relative Maximum

5.3. Absolute Minimum

5.4. Absolute Maximum

6. Domain

6.1. Relevant Domain

6.2. Implied Domain

7. Piece-wise Defined Functions

8. Greatest Integer Function

9. Absolute Value Function

10. Intervals

10.1. Increasing

10.2. Decreasing

10.3. Constant

11. Transformtions

11.1. Rigid

11.1.1. Dialations

11.1.1.1. Vertical Stretch

11.1.1.2. Vertical Compression

11.1.1.3. Horizontal Compression

11.1.1.4. Horizontal Stretch

11.2. Non-Rigid

11.2.1. Tranlations

11.2.1.1. Vertical

11.2.1.2. Horizontal

11.2.2. Reflections

11.2.2.1. Reflection Over y-axis

11.2.2.2. Reflection Over x-axis

12. Vertical Line Test

13. Arithmetic Combinations

14. Compositions

15. Inverses

15.1. Horizontal Line Test

15.1.1. One-to-One Functions

16. Average Rate of Change

17. Range

18. Sets

18.1. Set Notation

18.1.1. Subsets

18.1.1.1. Elements

18.2. Set Builder Notation

18.2.1. Subsets

18.2.1.1. Elements

18.3. Interval Notation

18.3.1. Subsets

18.3.1.1. Elements

18.4. Venn Diagrams

18.5. Unions

18.6. Intersections