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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
Why is it okay for a graph to cross one of its's horizontal asymptotes?
There is nothing in the definition of "asymptote" that forbids a graph to cross its asymptote. The only requirement for a line to be an asymptote is that if one of the coordinates gets larger and larger, the graph gets closer and closer to the asymptote. The "closer and closer" part is defined via limits.
What is the asymptote of a circle?
A circle does not have an asymptote.
When was Asymptote Architecture created?
Asymptote Architecture was created in 1989.
Can a slant asymptote cuts the graph?
No. If it cuts a graph it is not an asymptote.
Does every rational function have an asymptote?
No if the denominators cancel each other out there is no asymptote
What is an asymptote?
An asymptote is a line or curve that approaches a given curve arbitrarily closely.
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.
When was Asymptote - vector graphics language - created?
Asymptote - vector graphics language - was created in 2004.
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
Does y equals log5x have an asymptote?
Yes, the asymptote is x = 0. In order for logarithmic equation to have an asymptote, the value inside log must be 0. Then, 5x = 0 → x = 0.
