WAYNE STATE UNIVERSITY MATH PROGRAM AT WESTERN INTERNATIONAL HIGH SCHOOL ALGEBRA II HOMEWORK 66 WINTER 2010 NAZELLI Name:_______________________________________ Date:________________________ Show all your work. Do not use a calculator to get your answers. You can, and should, use a calculator to check your answers. 1. Let f x x 2 a. Find the first few elements of the orbit of b. Is 1 a prisoner or an escapee? 10 c. Is 1 i a prisoner or an escapee? 2. Now, let f x x 2 1 a. Find the first few elements of the orbit of 0. b. Is 0 a prisoner or an escapee? c. Is i a prisoner or an escapee? 1 . 10 5r 3s 24 3. Solve: 3r 5s 28 4. Let f x 3x 2 6 x . Find all inputs, x, such that f x 4 . 5. Find the area of the right triangle with hypotenuse of 10 in and one leg of 5in.