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Considering an asymptote as a tangent to the curve "at infinity", the asymptote is the straight line itself.

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13y ago

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What do the asymptotes represent when you graph the tangent function?

When you graph a tangent function, the asymptotes represent x values 90 and 270.


How many non-verticle asymptotes can a rational function have?

Not sure what non-verticle means, but a rational function can have up to 2 non-vertical asymptotes,


How many vertical asymptotes does the graph of this function have?

2


How do you solve asymptote?

To solve for asymptotes of a function, you typically look for vertical, horizontal, and oblique asymptotes. Vertical asymptotes occur where the function approaches infinity, typically at values where the denominator of a rational function is zero but the numerator is not. Horizontal asymptotes are determined by analyzing the behavior of the function as it approaches infinity; for rational functions, this involves comparing the degrees of the polynomial in the numerator and denominator. Oblique asymptotes occur when the degree of the numerator is one higher than that of the denominator, and can be found using polynomial long division.


A sign chart helps you record data about a function's values around its and asymptotes?

A sign chart helps you record data about a function's values around its _____ and _____ asymptotes. zeros vertical


The vertical of the function secant are determined by the points that are not in the domain?

Asymptotes


Why are asymptotes important characteristics of rational functions?

Asymptotes are one way - not the only way, but one of several - to analyze the general behavior of a function.


Can a rational function have no vertical horizontal oblique asymptotes?

No, it will always have one.


Is it possible for graph of function to cross the horizontal assymptotes?

When you plot a function with asymptotes, you know that the graph cannot cross the asymptotes, because the function cannot be valid at the asymptote. (Since that is the point of having an asymptotes - it is a "disconnect" where the function is not valid - e.g when dividing by zero or something equally strange would occur). So if you graph is crossing an asymptote at any point, something's gone wrong.


To fill out a function's you will need to use test numbers before and after each of the function's and asymptotes.?

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What isNear a function's vertical asymptotes its values become very positive or negative numbers?

Near a function's vertical asymptotes, the function's values can approach positive or negative infinity. This behavior occurs because vertical asymptotes represent values of the independent variable where the function is undefined, causing the outputs to increase or decrease without bound as the input approaches the asymptote. Consequently, as the graph approaches the asymptote, the function's values spike dramatically, either upwards or downwards.


How many asymptotes can a bounded function have?

I believe the maximum would be two - one when the independent variable tends toward minus infinity, and one when it tends toward plus infinity. Unbounded functions can have lots of asymptotes; for example the periodic tangent function.