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Pre-Calculus Practice Problem 55

# Pre-Calculus Practice Problem 55 - Unit 2 Activity 2...

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Unit 2, Activity 2, Discovery using Technology Blackline Masters, Advanced Math-PreCalculus Page 53 Louisiana Comprehensive Curriculum, Revised 2008 1. Plot on the same screen the following graphs: , 2 x y = , 3 x y = y = x 4 , y = x 5 a) What points do all of the graphs have in common? b) Which function increases most rapidly, and which increases least rapidly, as x becomes large? c) What are the main differences between the graphs of the even powers of x and the odd powers of x ? 2. Plot on the same screen the following graphs: , 2 x y = , 3 x y = y =-x 4 , y = -x 5 a) What characteristics do these graphs share with the graphs in #1? b) How do these graphs differ from the graphs in #1? 3. Plot on the same screen the following graphs: , 2 x y = y = 4 x , x x y 4 2 + = a) What do you notice about the graphs of 2 x y = and x x y 4 2 + = when x is a large positive or negative number? b) What do you notice about the graphs of y = 4 x and the graph of x x y 4 2 + = when x is a small positive or negative number?
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