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Pre-Calculus Practice Problem 57

# Pre-Calculus Practice Problem 57 - 6 4 2 2 3 − − = x x...

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Unit 2, Activity 2, Discovery using Technology with Answers Blackline Masters, Advanced Math-PreCalculus Page 55 Louisiana Comprehensive Curriculum, Revised 2008 The same effect is noted with this problem as we saw in problem 3. When x is very small -4x 2 is dominant. b) What do you notice about the graphs of 3 x y = and 2 3 4 x x y = when x is a large positive or negative number? The same effect is noted with this problem as we saw in problem 3. When x is very large x 3 is the dominant term. 5. Plot on the same screen the following graphs: 6 4 2 2 3 + = x x x y , 3 x y = , and y = -4 x – 6 a) Compare the three graphs for large positive and negative values of x . The graph of 6 4 2 2 3 + = x x x y is similar to that of y = x 3 for large values of x. b) Compare the three graphs for small positive and negative values of x . The graph of
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Unformatted text preview: 6 4 2 2 3 − − + = x x x y is similar to that of the graph of y = -4x – 6 for small values of x. c) Suggest a reason for ignoring the terms x 2 , -4 x , and -6 when considering the shape of the graph in part (a) for large values of x . For the graph of a polynomial function, the term of largest degree is dominant when x is a very large positive or negative number. Let x take on the values of 100, 1000 etc. to illustrate this statement. d) Suggest a reason for ignoring the terms x 3 and x 2 when considering the shape of the graph in part (a) for very small values of x . When x is a small positive or negative number, the terms of smallest degree are the dominant factors. Let x take on the values ¼ and ½ to illustrate this statement....
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