# Functions

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Functions

## 3. Notations

### 3.3. Interval

3.3.1. Increasing

3.3.2. Constant

3.3.3. Decreasing

## 4. Can be described as

### 4.2. Increasing, decreasing or constant

4.2.1. Extrema- point on a graph where a curve starts increasing or decreasing

4.2.1.1. Minimum

4.2.1.2. Maximum

### 4.4. Discontinuous

4.4.1. Removable

4.4.2. Nonremovable

4.4.2.1. Infinite

4.4.2.2. Jump

## 6. Transformations

### 6.1. Rigid

6.1.1. Absolute Value

6.1.2. Translations

6.1.3. Reflections

### 6.2. Nonrigid

6.2.1. Dialations

6.2.1.1. Compressed or Stretched

6.2.1.1.1. Vertically

6.2.1.1.2. Horizontally

## 7. How to determine if a relation is a function

### 7.1. Algebraically

7.1.1. Input leads to one output

### 7.2. Graphically

7.2.1. Must pass Vertical Line Test

### 7.3. Numerically

7.3.1. Input leads to one output

## 8. Types

### 8.2. Composite

8.2.1. Simplest form

8.2.1.1. Parent function

8.2.1.1.1. Transformations

### 8.3. Inverse

8.3.1. Horizontal Line test

8.3.2. One-to-One

10.3.1. Zeros

14.6.1. Absolute

14.6.2. Relative