Precalc0103to0104-page16 - positive in value for nonzero...

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(Section 1.3: Basic Graphs and Symmetry) 1.3.16 We now have the following graphs for x > 0 : The y -axis is a vertical asymptote (“VA”) of the graph of h . How can we quickly get the other half of the graph of h ? Exploit symmetry! h is an even function, so its graph is symmetric about the y -axis . TIP 5 : This graph lies entirely above the x -axis, because 1 x 2 is always
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Unformatted text preview: positive in value for nonzero values of x . The graph exhibits symmetric behaviors about the vertical asymptote (VA). The function values increase without bound from the left and from the right of the VA. The graphs of y = x 4 or 1 x 4 , y = x 6 or 1 x 6 , etc. resemble the graph above....
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