FUNCTIONS
저자: David Henson
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