Asked by: Annelies Villoriascience space and astronomy
How do you find an asymptote of a graph?
Last Updated: 25th May, 2020
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Similarly one may ask, how do you find the horizontal asymptote of a graph?
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.
how do you find the asymptotes of an exponential function? Certain functions, such as exponentialfunctions, always have a horizontal asymptote. Afunction of the form f(x) = a (bx) + c always hasa horizontal asymptote at y = c. For example, the horizontalasymptote of y = 30e–6x –4 is: y = -4, and the horizontal asymptote of y = 5(2x) is y = 0.
Besides, how do you find the asymptote of an equation?
Vertical asymptotes can be found by solving theequation n(x) = 0 where n(x) is the denominator of thefunction ( note: this only applies if the numerator t(x) is notzero for the same x value). The graph has a verticalasymptote with the equation x = 1.
How do you define Asymptotes?
Asymptotes. An asymptote of a curve y=f(x)that has an infinite branch is called a line such that the distancebetween the point (x,f(x)) lying on the curve and the lineapproaches zero as the point moves along the branch to infinity.Asymptotes can be vertical, oblique (slant) andhorizontal.