Asked by: Emmett Milkescience space and astronomy
Can Desmos show Asymptotes?
Last Updated: 16th January, 2020
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Subsequently, one may also ask, how do you find asymptotes of a graph?
Asymptotes. An asymptote is a line that agraph approaches without touching. Similarly, horizontalasymptotes occur because y can come close to a value, butcan never equal that value. In the previous graph, there isno value of x for which y = 0 ( ≠ 0), but as x gets very largeor very small, y comes close to 0.
Likewise, who discovered Asymptotes? The term was introduced by Apollonius of Perga in hiswork on conic sections, but in contrast to its modern meaning, heused it to mean any line that does not intersect the given curve.There are three kinds of asymptotes: horizontal, verticaland oblique asymptotes.
Considering this, how do you find Asymptotes?
Finding Horizontal Asymptotes of RationalFunctions
- If both polynomials are the same degree, divide thecoefficients of the highest degree terms.
- If the polynomial in the numerator is a lower degree than thedenominator, the x-axis (y = 0) is the horizontal asymptote.
What are the rules for horizontal asymptotes?
The three rules that horizontal asymptotes follow are basedon the degree of the numerator, n, and the degree of thedenominator, m.
- If n < m, the horizontal asymptote is y = 0.
- If n = m, the horizontal asymptote is y = a/b.
- If n > m, there is no horizontal asymptote.