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Earn +20 ptsQ: What rational expression has and as asymptotes on its graph?
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Why is the denominator set to zero to graph a rational expression?
When the denominator is equal to zero, the expression is undefined. Close to those places, the expression tends towards plus infinity, or minus infinity. In other words, setting the denominator to zero will tell you where there are vertical asymptotes.
What do the asymptotes represent when you graph the tangent function?
When you graph a tangent function, the asymptotes represent x values 90 and 270.
How many non-verticle asymptotes can a rational function have?
Not sure what non-verticle means, but a rational function can have up to 2 non-vertical asymptotes,
Can a rational function have no vertical horizontal oblique asymptotes?
No, it will always have one.
What happens in the graphs of the functions that have variables in the denominator?
The answer depends on the form of the expression in the denominator. For example, the graph os 1/(1 + x2) has a pretty well-behaved graph, with a maximum vaue of 1 when x = 0 and asymptotes of y = 0
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