Functions

1. Parent Functions

1.1. Examples

1.1.1. Square root

1.1.2. Constant

1.1.3. Reciprocal

1.1.4. Identity

1.1.5. Cubic

1.1.6. Greatest Integer

1.1.7. Quadratic

1.1.8. Asolute Value

1.2. Transformations

1.2.1. Dialtions

1.2.1.1. vertical/ horizontal

1.2.2. Reflection

1.2.2.1. x/y axis

1.2.3. Tanslation

1.3. Inverse Functions

1.3.1. Graph

1.3.2. Table

2. Sets

2.1. Notations

2.1.1. Function notation

2.1.2. Interval notation

2.1.3. Set-builder notation

2.2. Unions and intersections

2.2.1. U/∩

2.3. Real numbers

2.3.1. Venn Diagram

2.3.1.1. Irrational(I)

2.3.1.2. Rational(R)

2.3.1.2.1. Rations (Q)

3. Limits

3.1. Continuity

3.2. Discontinuity

3.2.1. Jump

3.2.2. Removable

3.2.3. Infinite

3.3. End Behavior

4. Characteristics

4.1. Odd: f(-x)=-f(x)/Even: f(-x)=f(x)

4.2. Domain and Range

4.3. Y-intercept

4.4. Zeros

4.5. Symmetry

4.5.1. Origin

4.5.2. Y-axis

4.5.3. X-axis

5. Piecewise

5.1. close circle

5.2. open circle

5.3. graph

6. Compositions

6.1. Adding

6.1.1. (f+g)(x)

6.2. Subtracting

6.2.1. (f-g)(x)

6.3. Multiplying

6.3.1. (f*g)(x)

6.4. Dividing

6.4.1. (f/g)(x)

6.5. Combinations

6.5.1. (f(g(x))

7. Rate of Change

7.1. extrema

7.1.1. Relative

7.1.1.1. Maximum

7.1.1.2. Minimum

7.1.2. Absolute

7.1.2.1. Maximum

7.1.2.2. Minimum

7.2. Slope

7.3. Intervals

7.3.1. Increasing

7.3.2. Decreasing

7.3.3. Constant