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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 is the vertical asymptote of 4 divided by x2?
2
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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