Functions

1. compositions

1.1. algebraically

1.2. numerically

1.3. Arithmetic combinations

2. piece-wise

2.1. graphically

2.2. equation

3. Transformations

3.1. parent functions

3.1.1. absolute value

3.1.2. quadratic

3.1.3. reciprocal

3.1.4. Greatest Integer

3.1.5. linear

3.1.6. square root

3.1.7. cubic

3.2. absolute value

3.3. description

3.3.1. translation

3.3.1.1. up

3.3.1.2. down

3.3.1.3. left

3.3.1.4. right

3.3.2. vertical stretch

3.3.3. vertical compression

3.3.4. horizontal stretch

3.3.5. horizontal compression

4. Symmetry

4.1. numerically

4.2. graphically

4.3. y-axis

4.4. x-axis

4.5. origin

5. Extrema

5.1. Relative

5.1.1. Minimum

5.1.2. Maximum

5.2. Absolute

5.2.1. Minimum

5.2.2. Maximum

6. Notation

6.1. limit

6.1.1. End behavior

6.2. set

6.2.1. set builder

6.2.2. Venn Diagram

6.3. interval

6.3.1. increasing, decreasing, constant

7. Continuity Test

7.1. Discontinuous

7.1.1. removable

7.1.2. jump

7.1.3. infinite

7.2. Continuous

8. Inverse

8.1. HLT

8.2. numerically

8.3. algebraically

8.4. graphically

9. Characteristics

9.1. domain

9.2. range

9.3. y-intercepts

9.4. zeros

9.5. rate of change