## 1. Quadratic functions

## 2. comparing to quadratics

### 2.1. On a graph, a piecewise function isn't all connected. Like for example on a parabola or even linear function. It usually have two separated lines.

### 2.2. Unlike quadratics, piecewise use the greater than and less than sign when solving

### 2.3. When solving a piecewise you are solving for domain and range, not just an x and y

## 3. how to write it

### 3.1. Piecewise functions are written like this

## 4. Piecewise Functions

## 5. Definition

### 5.1. a function which is defined by multiple sub-functions, each sub-function applying to a certain interval of the main function's domain

## 6. Examples

### 6.1. they use solid and not solid line to show types of functions.

### 6.2. Piecewise functions use both less and larger than signs (<,>) and the equal sign.

## 7. Examples

### 7.1. Shaped in a U or N shape, called a parabola

### 7.2. The point of quadratics is to show the growth of something

## 8. Definition

### 8.1. A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.

## 9. Sources: https://www.mathsisfun.com/sets/functions-piecewise.html https://www.mathsisfun.com/algebra/quadratic-equation-real-world.html http://www.shmoop.com/functions/quadratic-functions-examples.html

## 10. how to solve

### 10.1. use the quadratic formula

10.1.1. the formula