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. Inverses

2.1. Domain and range are switched

2.2. reflected over y=x

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

3. Graphing

3.1. Symmetry

3.1.1. Even

3.1.1.1. F(x)=F(-x)

3.1.2. Odd

3.1.2.1. -F(x)=F(-x)

3.1.3. Neither

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

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

3.2. Extrema

3.2.1. Absolute

3.2.1.1. No points go higher/lower

3.2.2. Relative

3.2.2.1. h

3.3. Average rate of change

3.3.1. secant line

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

3.4. Continuity

3.4.1. Continuous

3.4.1.1. Limits

3.4.2. Discontinuous

3.4.2.1. Jump

3.4.2.2. Infinite

3.4.2.3. Removable

4. Factoring

4.1. Difference of Squares

4.2. Difference of Cubes

4.3. Grouping

5. Compositions

5.1. (f/g)(x)

5.2. (f*g)(x)

5.3. (f-g)(x)

5.4. (f+g)(x)

5.5. (g(f)(x))

5.6. (f(g)(x))

6. Parent Functions

6.1. Constant function f(x)=c

6.2. Identity functions f(x)=x

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

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

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

6.6. Square Root function f(x)=√x