## Course Description

Digital photography has dramatically changed the nature of photography. No longer is an image etched in the emulsion on a roll of film. Instead, nearly every aspect of recording and manipulating images is now governed by mathematics. An image becomes a series of numbers, representing the characteristics of light striking an image sensor. When we open an image file, software on a camera or computer interprets the numbers and converts them to a visual image. Photo editing software uses complex polynomials to transform images, allowing us to manipulate the image in order to crop details, change the color palette, and add special effects. Inverse functions make it possible to convert from one file format to another. In this topic, we will learn about these concepts and discover how mathematics can be used in such applications.

### Unit-1

- Introduction to Power Functions
- End Behavior of Power Function
- Introduction to Polynomial Function
- Degree and Leading Coefficient of Polynomial Function
- End Behavior of Polynomial Function
- Intercepts of Polynomial Functions
- Activity
- Problem Solving

### Unit-2

- Turning Points of Polynomial Functions
- Characteristics of Graphs of Polynomial Functions
- Finding zeros of Polynomial Functions
- Identify Zeros and their Multiplicities
- Relationship between Degree and Turning Points
- Graph Polynomial Functions
- Intermediate Value Theorem
- Write the Polynomial Function Equation from Graph
- Solving Real World Applications