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Earn +20 ptsQ: What is the asymptote of 3x?
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Which function has the following a vertical asymptote at x equals -4 horizontal asymptote at y equals 0 and a removable discontinuity at x equals 1?
2x-2/x^2+3x-4
Does every rational function have a vertical asymptote?
Answer: no [but open to debate] ((x-1)(x-2)(x+2))/(x-3) (x^2-3x+2)/(x-2)(x+2) Asymptote missing, graph it, there is no Asymptote because the (x-2)(x+2) can be factored out. yes
Can a slant asymptote cuts the graph?
No. If it cuts a graph it is not an asymptote.
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?
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