### Function Family Project

```Function Family Project
Task: Create a product that effectively represents the most important attributes of the function families listed below. Your goal is to create a creative review of the functions families. Neatness and organization is key. The content for each function family must be accurate and will be graded accordingly. Possible Products: Family Picture Album Family Tree Infographic Interactive Poster Children’s Book Board Game *Other products can be cleared with Ms. Hahn/Mr. Fales Must Include: You must organize your work to include a section on each of the following function families. Note that the listed function is the parent function. 1. f(x) = x Linear Function 2. f(x) = x2 Quadratic Function 3. f(x) = x Square Root Function 4. f(x) = |x| Absolute Value Function 5. f(x) = a b x Exponential Function 6. f(x) = log a x Logarithmic Function Rational Function 7. f(x) = 1
x
8. f(x) = sin x or f(x) = cos x Trigonometric Function For each function, you need to include the following: a. Parent function equation, graph, domain, range, & special characteristics b. Standard form of the function c. Special characteristics of the function, graphically and algebraically. d. Example of a shifted equation and graph of the function with domain and range Groupwork & Grading: You will be required to work in groups of 2-­‐3. Please note that ALL group members must contribute equally to the project and grades will be individual based on your contribution. Use class time wisely! This project is due Friday, May 15. Info Page Linear Functions Parent Function Quadratic Functions Standard Form Other Info Parent Function Standard Form Other Info Square Root Functions Absolute Value Functions Parent Function Parent Function Standard Form Other Info Standard Form Other Info Exponential Functions Logarithmic Functions Parent Function Parent Function Standard Form Other Info Rational Functions Parent Function Standard Form Other Info Trigonometric Functions Standard Form Other Info Parent Function Standard Form Other Info ```