In order to set the stage and standard of my AP Calculus AB class, I use this 4-page assignment for homework in order to give me a sense of where my students are at mathematically. This can be used as a group activity in class or as a homework assignment. Concepts include: Function Notation, Position Functions, Graphs of Foundation Functions, Domain and Range, Function Arithmetic, Composite Functions, and Inverse Functions. Students are asked to explain their reasoning to get them prepared for the rigor and expectations of the AP Exam.
NOTE: Look for the Answer Key in my store titled "AP Calculus First Day Of School Homework SOLUTIONS"