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5.1 Lesson Graphing_Reciprocal_Functions

# 5.1 Lesson Graphing_Reciprocal_Functions -...

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Lesson_5.1_Graphing_Reciprocal_Functions.notebook 1 October 21, 2009 5.1 Graphing Reciprocal Functions Unit 5: Rational Functions, Equations and Inequalities Recall: The parent reciprocal F cn : f(x) = 1/x f(x) is the reciprocal of g(x) = x . So... in actual fact f(x) and g(x) are called a pair of reciprocal functions b/c f(x) = 1/g(x) Investigation:- in your notes graph each set Function - g(x) Reciprocal - f(x) Graph Asymptotes g(x) = x-3 g(x) = x 2 -4 g(x) = 1-x 2 g(x) = (x+1) 2 -4 f(x) = 1 x-3 f(x) = 1 x 2 -4 f(x) = 1 1-x 2 f(x)= 1 (x+1) 2 -4

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Lesson_5.1_Graphing_Reciprocal_Functions.notebook 2 October 21, 2009 Investigation cont... Compare the graph of f(x) and g(x) and answer: 1. How are the intervals of increase / decrease of f(x) and g(x) related? 2. What are the X values for f >0 vs. g>0? 3. What are the X values for f<0 vs. g<0 ? 4. Where do f and g intersect? What do all those P.O.Is have in common? Reciprocal Functions: Summary (1) The zeroes of the original function become the vertical asymptotes on the reciprocal function.
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5.1 Lesson Graphing_Reciprocal_Functions -...

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