Module 10 Problems Your Name: Answer the questions below. The space will expand as you work. Please include your entire working calculations along with your answer. Minimum credit is given if you only include your final answer. 1. Using the following graph answer the following questions: a) b) c) d) For what values of x is f(x) = 0? Find the approximate values for x so that f(x1) = f(x2) = 3? As x increases between 2 and 4, do the values of f increase or decrease? Is f(0) positive or negative? 5 4 3 2 1 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 -1 -2 -3 2. Graph the following function f(x) = x - |x| 3. Express the following equation, using notation Confidential & Proprietary Rasmussen 2010 1 2x | | ( 4 x5 ) (2 x +5) 18x 3 x2 +6 4. Express the following equation, using notation |3 x 54 x 4+ 3 x 3 +2 x 2+5 x +12|12|x 5| 5. Show that for any real number x if x > 4 then |x 2||2 x 4 +3 x 3+ 2 x 2|12 x 6 6. Given the following equations what is the corresponding a) b) c) ( x ? ) notation ( 2 x2 ) (2 x+ 4) 8 ( 2 x 22 x+ 2 ) (2 x + 4) 2 ( 3 x 3 +2 x2 + 4 x+ 2 ) (2 x2 +3 x+ 2) 12 7. For the following code segment calculate the total number of additions and subtractions taking place for a positive value of x For a := 3 to x Ans = Ans + 3a - 4x + 4 Next a Confidential & Proprietary Rasmussen 2010 2