Precalc0103to0104-page15

Precalc0103to0104-page15 - (Section 1.3: Basic Graphs and...

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(Section 1.3: Basic Graphs and Symmetry) 1.3.15 PART J: POWER FUNCTIONS WITH NEGATIVE, EVEN POWERS Let hx () = 1 x 2 or x ± 2 . We will compare the graph of h to the graph of y = 1 x . Let’s construct a table for x ± 1 . x 1 10 100 ±² fx , or 1 x 1 1 10 1 100 ± 0 , or 1 x 2 1 1 100 1 10,000 ± 0 • This suggests that the graph of h approaches the x -axis more rapidly as x . The table suggests the following graphs for x ± 1 : The x -axis is a
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