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Unformatted text preview: A2/MATH0211/2009-10 THE UNIVERSITY OF HONG KONG DEPARTMENT OF MATHEMATICS MATH0211 Basic Applicable Mathematics Assignment 2 Due date : Sep 30, 2009 before 17:00. Remember to write down your Name , Uni. number and Tutorial Group number . You are welcome to see the instructor or demonstrator if you have any difficulties. See “Course information” at http://18.104.22.168/MATH0211 for availabilities. Please drop your work in the assignment box marked MATH0211 on the 4th floor of Run Run Shaw Building. No late work will be accepted. 1. Let f ( x ) = | x- 1 | + | x- 2 | . (a) Write f ( x ) as a case-defined function. (b) Sketch the graph of f ( x ) . (c) Find the range of f ( x ) by projecting its graph onto the y-axis. (d) Use the horizontal line test to check if f ( x ) is injective on [1 , 2] . 2. Let f ( x ) = ax 2 + bx + c be a quadratic function. (a) Show that f ( x ) can also be written as f ( x ) = a x + b 2 a 2- b 2- 4 ac 4 a ....
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This note was uploaded on 01/02/2012 for the course MATH 0211 taught by Professor Chan during the Spring '10 term at HKU.
- Spring '10