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Q: Why are asymptotes important?
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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.


What are the slopes of the hyperbola's asymptotes?

If a hyperbola is vertical, the asymptotes have a slope of m = +- a/b. If a hyperbola is horizontal, the asymptotes have a slope of m = +- b/a.


What are the equation of the asymptotes for each graph?

that's simple an equation is settled of asymptotes so if you know the asymptotes... etc etc Need more help? write it


What are the three types of asymptotes?

Three types of asymptotes are oblique/slant, horizontal, and vertical


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 asymptotes does a ellipse have?

None.


What rhymes with asymptotes?

music notes


Does an ellipse have asymptotes?

ellipses do have asymptotes, but they are imaginary, so they are generally not considered asymptotes. If the equation of the ellipse is in the form a(x-h)^2 + b(y-k)^2 = 1 then the asymptotes are the lines a(y-k)+bi(x-h)=0 ai(y-k)+b(x-h)=0 the intersection of the asymptotes is the center of the ellipse.


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


What is the vertical asymptotes for tan2x?

there is non its an infinite line.


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