(Section 1.3: Basic Graphs and Symmetry) 1.3.23 FOOTNOTES1.Power functions with rational powers of the form oddeven. Let fx()=xN/D, where Nis an oddand positive integer, and Dis an evenand positive integer. =x1/2=x3/2• If NDis a properfraction (where N<D), then the graph offis concave downand resembles the graph on the left. Examples:=xor x1/ 2, =x34or x3/4. • If NDis an improperfraction (where N>D), then the graph offis concave upand resembles the graph on the right. Examples:=x3or x,=x74or x7/4.2.Power functions with rational powers of the form oddodd. Let =xN/D, where Nand Dare both oddand positive integers.
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