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Unformatted text preview: Exercises 01 [Solving inequalities] 1. Find the domain of the function x x x x f + = 3 2 ) ( 2. Find the domain of the function ) 5 5 ln( ) ( x x x f + = 3. Find the zeroes of the function f(x) = 2 3 12 4 x x and the intervals where it is positive, and where it is negative. 4. Find the interval where the graph of f(x) = 1 ) 3 ( 4 2 + + x is found above the line y = 1 5. Find the interval where the function y = 2 3 3 x x is less than or equal to y = x. Completing the square for c bx ax + + 2 [ ] [ ] [ ] [ ] a b a b a b a b a b a b c x a a c x x a aM c M x x a 4 2 2 2 2 2 2 2 2 2 ) ( ) ( ) ( + + = + + + = + + + = , M = [ ] 2 2 a b is called “Magic Number” a b ac a b x a 4 4 2 2 2 ) ( + + = Exercises 02 Complete the squares for the following quadratic expressions. (1) x x 8 4 2 + (2) 4 6 2 + + x x (3) 3 – 4x – x 2 (4) 3x 2 – 5x – 9 (5) 6x – 5x 2 Exercise 03 [Graphs of y = c f(ax+b) + d, where y = f(x) is a “basic function” ] Sketch the following graphs: (1) 1 9 3...
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This note was uploaded on 11/15/2010 for the course MATH 53 taught by Professor As during the Spring '10 term at University of the Philippines Diliman.
 Spring '10
 AS
 Calculus, Inequalities

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