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Earn +20 ptsQ: In geometry what is an asymptote?
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Can a slant asymptote cuts the graph?
No. If it cuts a graph it is not an asymptote.
What is the asymptote of 3x?
It has no asymptote. 3x is a straight line and therefore is a tangent to itself.
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.
What did the derivative near the horizontal asymptote shout to the derivative near the vertical asymptote?
I don't know, what?
What is the vertical asymptote of 4 divided by x2?
2
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