FUNCTIONS

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FUNCTIONS by Mind Map: FUNCTIONS

1. Sets

1.1. Subsets

1.1.1. Intersections

1.1.2. Unions

1.2. Notation

1.2.1. Interval

1.2.2. Set

1.2.2.1. Set Builder

2. Factoring

2.1. Difference of Squares

2.2. Difference of Cubes

2.3. Grouping

3. Compositions

3.1. (f/g)(x)

3.2. (f*g)(x)

3.3. (f-g)(x)

3.4. (f+g)(x)

3.5. (g(f)(x))

3.6. (f(g)(x))

4. Parent Functions

4.1. Constant function f(x)=c

4.2. Identity functions f(x)=x

4.3. Quadratic function f(x)=x^2

4.4. Cubic function f(x)=x^3

4.5. Recripicol function f(x)=1/x

4.6. Square Root function f(x)=√x

5. Inverses

5.1. Domain and range are switched

5.2. reflected over y=x

5.3. (fog)(x) and (gof)(x) in = x if they are inverses

6. Graphing

6.1. Symmetry

6.1.1. Even

6.1.1.1. F(x)=F(-x)

6.1.2. Odd

6.1.2.1. -F(x)=F(-x)

6.1.3. Neither

6.1.3.1. F(x)!=F(-x)

6.1.3.2. -F(x)!=F(-x)

6.2. Extrema

6.2.1. Absolute

6.2.1.1. No points go higher/lower

6.2.2. Relative

6.2.2.1. h

6.3. Average rate of change

6.3.1. secant line

6.3.1.1. (y2-y1)/(x2-x1)

6.4. Continuity

6.4.1. Continuous

6.4.1.1. Limits

6.4.2. Discontinuous

6.4.2.1. Jump

6.4.2.2. Infinite

6.4.2.3. Removable