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# What Is a Method for Finding Vertical and Horizontal Asymptotes?

If you are given a rational function, you can find the vertical asymptote by setting the denominator to zero and solving the equation. Find the horizontal asymptote by dividing the leading terms in the function.

Continue ReadingA vertical asymptote is a line that a curve approaches but does not cross. The distance between the curve and the line approaches zero as they tend to infinity. The equation of the vertical asymptote is found by determining the root of the denominator. When finding the vertical asymptote, the numerator is ignored. Separate the denominator from the rational function, and set the denominator equal to zero. Solving this equation yields the vertical asymptote.

A horizontal asymptote is a line to the far left or right of the curve. To find the horizontal asymptote, one should determine the degree of both the numerator and denominator from the original function. If the degrees are the same, simply divide the first term of the numerator by the first term of the denominator. This gives the y-value of the horizontal asymptote. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is the x-axis. If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.

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## How Do You Find the Slant Asymptotes of Rational Functions?

A: In order to find the slant asymptote of a rational function, the student must divide the numerator by the denominator. The most common division methods use... Full Answer >Filed Under: -
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## How Do You Find the Vertical Asymptotes of a Rational Function?

A: Determine the vertical asymptotes of a rational function by factoring the rational function to its most basic terms. This can be done by grouping, or using... Full Answer >Filed Under: -
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## How Do You Calculate the Midpoint Riemann Sum?

A: A Riemann sum is a method of approximating the area under the curve of a function. It adds together a series of values taken at different points of that fu... Full Answer >Filed Under: -
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## How Do You Find the Asymptote of a Hyperbola?

A: The asymptote of a hyperbola is found through the equation y = +/- (b/a)(x - h) + k, when the value of "a" is based on changes in the "x" value. When "a" i... Full Answer >Filed Under: