By Heather Adamson

This publication follows a development employee during the paintings day, and describes the profession and what the activity calls for.

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**Extra resources for A Day in the Life of a Construction Worker**

**Sample text**

C Find the 40th term. Find the formula for its general term. Is 325 a member? CDR Monday, 22 October 2007 3:56:31 PM PETERDELL IB_HL-2ed SEQUENCES AND SERIES (Chapter 2) 59 3 A sequence is defined by un = 3n ¡ 2: a Prove that the sequence is arithmetic. Hint: Find un+1 ¡ un : c Find the 57th term. b Find u1 and d. d What is the least term of the sequence which is greater than 450? 71 ¡ 7n : 2 c Find u75 : a Prove that the sequence is arithmetic. b Find u1 and d. d For what values of n are the terms of the sequence less than ¡200?

1 1 If a = ¡2, b = 3, c = ¡4 find the value of: a jaj b jbj c e ja ¡ bj f jaj ¡jbj g i j a j2 j a2 k 2 If x = ¡3, find the value of: cyan magenta yellow d j ab j ja + bj ¯c¯ ¯ ¯ ¯ ¯ a h jaj + jbj l jcj jaj 95 100 Is j a ¡ b j = j a j ¡ j b j ? 50 b 75 c ¯ ¯ ¯ 2x + 1 ¯ ¯ ¯ ¯ 1¡x ¯ 25 0 5 95 100 50 75 j5j ¡ jxj 25 0 5 95 100 50 b 75 25 Is j a + b j = j a j + j b j ? CDR Thursday, 12 July 2007 1:57:09 PM DAVID3 d ¯ ¯ ¯ 3 ¡ 2x ¡ x2 ¯ IB_HL-2ed FUNCTIONS (Chapter 1) 37 4 Copy and complete: j ab j a b 6 2 6 ¡2 ¡6 2 ¡6 ¡2 ¯a¯ ¯ ¯ ¯ ¯ b jajjbj jaj jbj What do you suspect?

A Explain why this is a valid test for the existence of an inverse function. b Which of the following functions have an inverse function? i ii iii y y y 1 x x -1 -2 2 1 x (1,-1) c For the functions in b which do not have an inverse, specify domains as wide as possible where each function does have an inverse. 5 Consider f : x 7! x2 where x 6 0. a Find f ¡1 (x). b Sketch y = f(x), y = x and y = f ¡1 (x) on the same set of axes. a Explain why f : x 7! x2 ¡ 4x + 3 is a function but does not have an inverse function.

### A Day in the Life of a Construction Worker by Heather Adamson

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