Precalc0103to0104-page23

Precalc0103to0104-page23 - (Section 1.3: Basic Graphs and...

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(Section 1.3: Basic Graphs and Symmetry) 1.3.23 FOOTNOTES 1. Power functions with rational powers of the form odd even . Let fx () = x N / D , where N is an odd and positive integer, and D is an even and positive integer. = x 1/2 = x 3/2 • If N D is a proper fraction (where N < D ), then the graph of f is concave down and resembles the graph on the left . Examples: = x or x 1/ 2 , = x 3 4 or x 3/4 . • If N D is an improper fraction (where N > D ), then the graph of f is concave up and resembles the graph on the right . Examples: = x 3 or x , = x 7 4 or x 7/4 . 2. Power functions with rational powers of the form odd odd . Let = x N / D , where N and D are both odd and positive integers.
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This document was uploaded on 12/29/2011.

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