0
An asymptote is the tendency of a function to approach infinity as one of its variable takes certain values. For example, the function y = ex has a horizontal asymptote at y = 0 because when x takes extremely big, negative values, y approaches a fixed value : 0. Asymptotes are related to limits.
Add your answer:
Earn +20 pts
The horizontal asymptote for exponential function is?
The graph of an exponential function f(x) = bx approaches, but does not cross the x-axis. The x-axis is a horizontal asymptote.
Should you check the value of a function on its asymptote to get a good idea of how its graph should look?
The asymptote is a line where the function is not valid - i.e the function does not cross this line, in fact it does not even reach this line, so you cannot check the value of the function on it's asymptote.However, to get an idea of the function you should look at it's behavior as it approaches each side of the asymptote.
Can a value of X cross a horizontal asymptote of a rational function sometimes?
Yes.
What did the asymptote say to the removable discontinuity?
Don't hand that holier than thou line to me
Define the asymptote of rectangular hyperbola?
An asymptote is a line that a curve approaches, getting closer and closer, but does not cross. Some definitions state that the curve may cross, but may not cross an infinite number of times. In the case of a rectangular hyperbole, the asymptotes are parallel or equal to the X and Y axes.
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.
What are the asymptotes of a linear function?
Considering an asymptote as a tangent to the curve "at infinity", the asymptote is the straight line itself.
