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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.
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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.
