Functions

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Functions by Mind Map: Functions

1. Function Types

1.1. algebraically

1.1.1. Continuity Test

1.1.1.1. Dicontinuities

1.1.1.1.1. Jump

1.1.1.1.2. Infinite

1.1.1.1.3. Removable

1.1.1.2. Continous

1.1.2. Combinations & Compositions

1.1.2.1. (f + g)

1.1.2.2. (f - g)

1.1.2.3. (f * g)

1.1.2.4. (f/g)

1.1.2.5. (f o g)

1.1.2.6. (g o f)

1.2. numerically

1.2.1. End Behavior

1.2.2. limits

1.3. graphically

1.3.1. Piecewise Functions

1.3.1.1. Domain

1.3.1.2. Range

1.3.2. Inverse

1.3.2.1. Horizontal Line Test

2. Analyzing Functions

2.1. Symetry

2.1.1. X-Axis

2.1.2. Y-Axis

2.1.2.1. Even

2.1.3. Point

2.1.3.1. Odd

2.2. Rate of Change

2.3. Zeros

2.4. Extremas

2.4.1. Absolute Max/Min

2.4.2. Relative Max/Min

2.5. Increasing/Decreasing

3. Parent Functions

3.1. f(x)= √x

3.2. f(x)= |x|

3.3. f(x)= x²

3.4. f(x)= x³

3.5. f(x)= 1/x

3.6. f(x)= x

3.7. f(x)= [[x]]

3.8. transformations

3.8.1. Non-Rigid

3.8.1.1. Reflections

3.8.1.2. Transformations

3.8.2. Rigid

3.8.2.1. Dialations

4. Set

4.1. Universal Set

4.2. Subset

4.2.1. Real Numbers

4.2.1.1. Naturals

4.2.1.2. Wholes

4.2.1.3. Integers

4.2.1.4. Rationals

4.2.1.5. Irrationals

4.3. Set builder Notation