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Earn +20 ptsQ: What is the vertical asymptote of the above function?
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True or False if a rational function Rx has exactly one vertical asymptote then the function 3Rx should have the exact same asymptote?
It will have the same asymptote. One can derive a vertical asymptote from the denominator of a function. There is an asymptote at a value of x where the denominator equals 0. Therefore the 3 would go in the numerator when distributed and would have no effect as to where the vertical asymptote lies. So that would be true.
Why doesn't a rational function not need at least one vertical asymptote?
That is not correct. A rational function may, or may not, have a vertical asymptote. (Also, better don't write questions with double negatives - some may find them confusing.)
What is the vertical asymptote of 4 divided by x2?
2
If a function is positive at a test number it will remain positive until it reaches zero or a vertical asymptote?
true
What did the derivative near the horizontal asymptote shout to the derivative near the vertical asymptote?
I don't know, what?
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